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Circles In Geometry, Basic Introduction - Circumference, Area, Arc Length, Inscribed Angles & Chords

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  • Опубликовано: 30 дек 2017
  • This geometry video tutorial provides a basic introduction into circles. It explains how to calculate the area of a circle as well as the circumference of a circle. It also explains how to calculate the arc length of a sector as well as the area of a sector in a circle. it explains the difference between the radius, chord, and diameter of a circle. It mentions how to calculate the inscribed angle as well as the measure of the intercepted arc. It discusses how to calculate the area of the shaded region given a right triangle inscribed in a circle.
    Circles - Area, Circumference, Radius: • Circles - Area, Circum...
    Circles - Chords, Radius, & Diameter:
    • Circles - Chords, Radi...
    Lines, Rays, Line Segments, & Angles:
    • Lines, Rays, Line Segm...
    2 Column Proofs - Cong. Segments:
    • Two Column Proofs of C...
    Triangle Congruence - SSS, SAS, ASA:
    • Triangle Congruence Th...
    Central Angles and Circle Arcs:
    • Central Angles, Circle...
    ___________________________________
    Tangent Lines and Secant Lines:
    • Tangent Lines & Secant...
    Circles - Central and Inscribed Angles:
    • Circles, Angle Measure...
    Tangent Tangent Angle Theorems:
    • Tangent Tangent Angle ...
    Inscribed and Circumscribed Polygons:
    • Inscribed Polygons and...
    Power Theorems - Chords, Secants, & Tangents:
    • Power Theorems - Chord...
    Circle Theorems:
    • Circle Theorems
    _________________________________
    Two Column Proofs With Circles:
    • Two Column Proofs With...
    Circles Review - Geometry:
    • Circles - Geometry
    Incenter, Circumcenter, and Orthocenter:
    • Incenter, Circumcenter...
    Distance Between Point and Line in 2D & 3D:
    • Distance Between a Poi...
    Area of a Triangle With Vertices:
    • Area of a Triangle Wit...
    ________________________________
    Coordinate Geometry:
    • Coordinate Geometry, B...
    Geometry Review - Study Guide:
    • Geometry Introduction ...
    Geometry Final Exam Review:
    • Geometry Final Exam Re...
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

Комментарии • 226

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  6 месяцев назад +5

    Final Exams and Video Playlists: www.video-tutor.net/

  • @aishwaryasubramanian5175
    @aishwaryasubramanian5175 4 года назад +1011

    Hey guys, here's a cool study tip: watch these BEFORE the teacher's lesson. This is because, when you watch this before the lesson you get a nice idea of what's coming up and you will be less intimidated. You can also understand the teacher better since the teacher will probably be going at a faster pace whereas here, you can pause and process info. This is great for people who can't focus/understand stuff in class.

    • @andrescientos
      @andrescientos 4 года назад +35

      Truly agree, you can't just tell me pi is equal to 3.14, I need to know where that number comes from.

    • @starbrightgalaxy3962
      @starbrightgalaxy3962 4 года назад +11

      i do it bc we get a homework pass ifwe catch a mistake by the teacher

    • @bluefox481
      @bluefox481 2 года назад +3

      We got this lesson in our summer book while we didnt take it yet, they didnt teach it to us bcz the covid 19 while they needed to teach it for us, so im working on ur tip for watching it before school come back and review it for us

    • @frezywizard
      @frezywizard Год назад +3

      They don't tell us what they are going to teach us before they start to teach us

    • @Awesome-ct7vr
      @Awesome-ct7vr Год назад +2

      Heres another cool tip.
      To know if you are dealing with any special right triangle:
      Take the shortest leg (ex. =3)
      Then square it. And divide by 2.
      3²=9 --> 9/2 =4.5 (add and subtract 0.5 aka +-) 4.5 + 0.5 = 5 , 4.5 -0.5 = 4
      Now you know youre dealling with a 3 4 5 triangle
      Another example for sport.
      7² = 49 --> 24.5 +- 0.5 --> 24 , 25
      Triangle 7,24,25.

  • @sasha41661
    @sasha41661 4 месяца назад +98

    Who’s watching this the morning before a test??😭😭

  • @gelgel6217
    @gelgel6217 4 года назад +292

    How I look at circles when I was a kid will never be the same anymore ⭕

  • @kristofkopecky5723
    @kristofkopecky5723 3 года назад +109

    From Chemistry to Geometry this guy is a life saver

  • @SlowedByMaple
    @SlowedByMaple 2 года назад +31

    This Dude, not Only Uploads Science Videos, but he Uploads a Lot of Helpful Math Videos. What a Legend he is.

  • @lrosales797
    @lrosales797 2 года назад +55

    Hello! It might not reach you due to the overwhelming comments you receive throughout all your lecture videos, but I wanted to take the time and thank you for providing so many educational videos, you have no idea how much this is helping me, it will even help me get through college. This is not much, I know, but remember that you have helped so many, and without you, many wouldn't be where they wanted to be (in terms of careers and education) Don't ever stop making more videos!

  • @razerskrythe490
    @razerskrythe490 3 года назад +168

    I learned more in a 18 minute video than a 1 hour and 30 minute double lesson

  • @georgesadler7830
    @georgesadler7830 2 года назад +15

    MR. Organic Chemistry Tutor, thank you for another incredible video/lecture on Circles in Geometry and the Basic Introduction to Areas, Circumference, Arclength, Inscribed Angles and Chords. All these topics are illustrated by diagrams/shapes and old fashion Formulas. The Formulas can also be derived using basic and Advanced Mathematics.

  • @johnclement7473
    @johnclement7473 3 года назад +12

    This is how you teach mathematics and how it's suppose to be broken down thank you so much wow!!!!

  • @jafrajulsiruelo
    @jafrajulsiruelo 2 года назад +7

    thanks for this video, although it's fast paced i really appreciate it that you're not spoon feeding and that u made it really clear.

  • @latashawilliams6421
    @latashawilliams6421 2 года назад +8

    I saw that pythagorean triple from a mile away. great video. his explainations are very clear

  • @davidgago826
    @davidgago826 5 лет назад +49

    This would be a good review video from my students to remember the difference between all of the parts, and theorems regarding circles. Well Done!

    • @LiyahJeanette
      @LiyahJeanette 2 года назад

      What’s school do you teach at?

  • @saintelyy
    @saintelyy 3 года назад +4

    Awesome video! I learned a whole bunch of stuff

  • @doierry772
    @doierry772 Год назад +3

    this is so cool.. I have an exam in a month this explained the topic that Im lacking in so well!!!!!

  • @sergeantkrissy1641
    @sergeantkrissy1641 3 года назад +12

    Im a visual learner, like i legit cannot understand if the teacher is just explaining it rapidly and stuff, and here, it really helped me out, im doing my final exam tomorrow and this was the only concept i didnt understand until now, i got to see it done, while explaining and examples , and i dont hear like "get it now? ok so now you try" its more like "ok we will do this together"

  • @hyacinthokafor8232
    @hyacinthokafor8232 9 месяцев назад +1

    Honestly the person or people who made math is on another level

  • @jacintaganema8993
    @jacintaganema8993 9 месяцев назад +1

    You're better than my STEM Math teacher .You're such a cool guy. Thank you very much .

  • @saswatakundu2
    @saswatakundu2 Год назад

    Thanks for another great lesson!!

  • @dianakeithblancovergavera6934
    @dianakeithblancovergavera6934 2 года назад

    literally the best! thank you sm!

  • @crazethebosspurple8148
    @crazethebosspurple8148 3 года назад +23

    Who else is looking at this 5 min b4 a test

    • @cril4739
      @cril4739 3 года назад +3

      Before a final

  • @ErinIsTired05
    @ErinIsTired05 4 месяца назад

    This is such a great help to me!

  • @zacharywhite7139
    @zacharywhite7139 3 года назад +12

    My teacher literally was not helping so i had to come here

  • @Khawalidmi
    @Khawalidmi 6 лет назад +4

    you are the best

  • @oyingiwahouse_of_majestic254
    @oyingiwahouse_of_majestic254 3 года назад +5

    This is so explanatory

  • @maryellazo3891
    @maryellazo3891 Год назад +1

    Thank you!!! ❤

  • @kal_4life
    @kal_4life 3 года назад +2

    Congrat on 2 million

  • @carlpabello1752
    @carlpabello1752 4 года назад +4

    Thankyou sir

  • @JorgeRamos-xw6dy
    @JorgeRamos-xw6dy Год назад

    Well done sir.

  • @giovannasurace3988
    @giovannasurace3988 Год назад +1

    I used these videos back in geometry freshmen year of high school to now studying for the GRE my junior year of college. I think I would be a failure without these videos

  • @oneortwo2613
    @oneortwo2613 4 месяца назад

    Thanks bro is was very helpful ❤

  • @mimimokdad2405
    @mimimokdad2405 3 года назад +11

    Whats the app u use to draw ??

  • @umarmumtaz7585
    @umarmumtaz7585 3 года назад +1

    OMG😱😱YOU SAVED MY LIFE

  • @fortunefinest
    @fortunefinest 4 месяца назад

    You are the best sir

  • @Games-vo7zl
    @Games-vo7zl 2 года назад

    You are great 👍

  • @yemurayimachokoto8174
    @yemurayimachokoto8174 3 года назад

    well understood

  • @chauterrr
    @chauterrr 2 года назад +1

    I learned this more than my long math lesson in school

  • @ashera9506
    @ashera9506 3 года назад +6

    I dont know why but im simping for his voice😩🖐️

  • @shukrihonor-on3pc
    @shukrihonor-on3pc Год назад

    very good teacher

  • @x_carlos_x7174
    @x_carlos_x7174 Год назад

    I appreciate you so much

  • @o-9923
    @o-9923 3 года назад +1

    Thank you for everything !

  • @mohammedalimoudiallo1054
    @mohammedalimoudiallo1054 4 года назад

    Perfect work

  • @jennifermbabazi113
    @jennifermbabazi113 3 года назад

    sir thank u soooooooo much

  • @AidaOne45
    @AidaOne45 3 года назад +1

    Thank you a lot !!!!!!!!! Thank you it helps me a lot!!!!!!!

  • @Baragaytanud
    @Baragaytanud Год назад

    thank you

  • @secretsitebuilder8974
    @secretsitebuilder8974 2 года назад

    Thanks sir

  • @incredible403
    @incredible403 2 года назад +1

    Thanks a lot

  • @Do-Some-Change
    @Do-Some-Change 3 месяца назад

    thanks bro

  • @foldr431
    @foldr431 3 года назад +9

    It’s important that you divide θ by 360° when calculating properties of a sector, not by 360 radians. Always include the degree sign to avoid confusion.

  • @lspellslogic877
    @lspellslogic877 2 года назад

    Thank you I really did not understand what our teacher just handed us

  • @deletedaccount567
    @deletedaccount567 2 года назад

    My geometry teacher could never 🤣👌🏿

  • @chinonyelumanumba
    @chinonyelumanumba 3 года назад +7

    Good morning sir, please I have a correction to make at 17:21 625pie is 2057.7 and when you minus 336 from 2057.7 the answer is 1721.1
    Thanks

    • @yummyspicyhut529
      @yummyspicyhut529 3 года назад +2

      are you resident obama daugther

    • @DirtyDan16_
      @DirtyDan16_ 3 года назад +1

      Umm... how?! I just checked and 625pi does equal to about 1963.5, the thing is you probably typed 655pi which will be equal to 2057.7.

  • @merceditaamion8784
    @merceditaamion8784 4 года назад +5

    3:26 wait wait, where did the m from mac come from???

    • @jaydonkurian2593
      @jaydonkurian2593 4 года назад +10

      the "m" in mAC means measure of the arc AC. This m is often used when writing the "measure of" angles, arcs, etc. For example, mAB is read as the "measure of arc AB". Or if you were talking about the measure of an angle, you would see something like this: mABD, read as the "measure of angle ABD".
      Hope that helps :)

    • @christophergonzalez8883
      @christophergonzalez8883 3 года назад

      @@jaydonkurian2593 well explained

  • @KDADX
    @KDADX 9 месяцев назад

    sir can u explain minor segment and major segment, please

  • @TaliaAlsayed
    @TaliaAlsayed Год назад

    in 8:02 why did you write cm^2 and not cm only? we did that for the circumference, so why not the area? is it because the formula has a ^2?

    • @malliemaile6746
      @malliemaile6746 3 месяца назад +2

      I had the same problem as you but remembered that rarely anyone presents an area in a straight line but in a square. That's why, cm²

  • @trashcanwithbugsinside
    @trashcanwithbugsinside 5 месяцев назад +4

    Watching these to study 💀💀💀

  • @yesno1067
    @yesno1067 3 года назад

    In 8:06 why does the radius aka 4 have to be in brackets can't you just have it as 4² and if not then why?

    • @ashar2957
      @ashar2957 2 года назад

      You are supposed to use brackets as an indication of multiplying, or bodmas

  • @manimations7353
    @manimations7353 Год назад

    Why is Ark AB the same?

  • @OwnedRules
    @OwnedRules 8 месяцев назад +1

    our teacher said...
    diameter is a chord that passes through the center of a circle

  • @dieofficialdankoo2311
    @dieofficialdankoo2311 Год назад

    it really tought me more

  • @mukorodiana573
    @mukorodiana573 Месяц назад

    The area of the circle given in the example, isn't that the area of a sector? It's quite confusing.

  • @markjasperriego6324
    @markjasperriego6324 Год назад

    what is fata?

  • @twm1452
    @twm1452 5 месяцев назад

    When calculating the area of the hatched region at 14 minutes into the video, aren’t you forgetting to subtract out the area between the arc BC and the base of the triangle?

  • @darlingnight029
    @darlingnight029 2 года назад

    on question 3 why bother with all that sector solving because we can immediately use the central angle theorem?
    btw this is a genuine question,,
    i dont know what i dont know ,,
    if im ignorant then enlighten me pls

  • @AlbiniaYT
    @AlbiniaYT Год назад

    3:29

  • @ahahwhaha1641
    @ahahwhaha1641 Год назад

  • @snowwhite3212
    @snowwhite3212 4 года назад +1

    Good point at 6:00 minutes

    • @iyaz_
      @iyaz_ 4 года назад

      Uh
      U
      U
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      U
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      U
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      U
      U
      R
      R
      R
      R
      R
      R
      R
      R
      R
      T
      T
      T
      H
      H
      H
      I
      I
      I
      Cc
      C
      C
      K
      K
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      R
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      H
      H
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      A
      A
      A
      A
      N
      N
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      N
      N
      A
      S
      Niker

  • @Lmc204
    @Lmc204 10 месяцев назад

    at 7:17 you put that the circumference is pi times the dimeter. but the circumference formula is 2times pi times r

    • @twm1452
      @twm1452 5 месяцев назад

      And what is D? 2r. The are both correct.

  • @jansilasombrado4187
    @jansilasombrado4187 Год назад

    Why did you add the Pythagorean theorem in the last part

  • @romilmogaveera
    @romilmogaveera 2 месяца назад

    W teacher ngl

  • @youthkive
    @youthkive 2 года назад

    on 8:56, why'd u write 2piR not 2piR^2?

    • @doggy3327
      @doggy3327 Год назад

      I'm late but review the difference between the formula for the area and the circumference of a circle. The circumference is 2piR and the area is piR^2

  • @Aruwyn
    @Aruwyn 3 месяца назад

    day of state testing for math because my geometry teacher didn’t get around to circles before the state test, hoping i can figure it out 😭

  • @tobiassiamfuko5500
    @tobiassiamfuko5500 3 года назад

    so easy now

  • @oukawadesu
    @oukawadesu 2 года назад

    Salamat at dahil sayo mas nalaman ko na mahirap pla talaga ang math kund wla ka alam sa solving

  • @starryasteria9166
    @starryasteria9166 3 года назад +1

    im starting to think this guy iz a god

  • @shaniyamines4976
    @shaniyamines4976 3 года назад

    0:25, 1:24

  • @piusmunyaneza7922
    @piusmunyaneza7922 4 года назад +7

    I am learning from Uganda and i thin i should skip school to get enough of my *The Organic Chemistry Tutor*

  • @dianarii3230
    @dianarii3230 2 года назад

    I'm a 5th grader
    Why are we learning this at 5th grade we should learn this on 6th grade man
    But this helped me understood the lesson

    • @Tvtardy
      @Tvtardy Год назад

      im learing this in the summer of 9th going to tenth lol

  • @teshomayehuteshome
    @teshomayehuteshome Год назад

    ❤❤❤❤ wow what a knoeledge

  • @evoxis1058
    @evoxis1058 2 года назад

    Tryna cram this in the bathroom before my test...

  • @rishktelu8966
    @rishktelu8966 6 месяцев назад +1

    Why am in 7th grade and need to learn more than this class teaches

    • @aliiiyoutube
      @aliiiyoutube 5 месяцев назад

      Uhh your probably don’t. Depends on your country and hs/college plans.

    • @Mofa62
      @Mofa62 3 месяца назад

      Because you are either so smart, or probably cheated on your final exam last year and scored so high to sit in a course you'd take normally in 10th grade

  • @jenromeave4793
    @jenromeave4793 3 года назад +1

    why in 4:52 theres a small and capital “d”?

    • @ohCran
      @ohCran 3 года назад

      Those two are used differently. In mathematics you can’t say find the mAB if the given problem provided lowercase ab.

  • @rubymbd
    @rubymbd 6 месяцев назад

    10:57

  • @mallxsanders2647
    @mallxsanders2647 Год назад +2

    Why are you watching this the night before your exam 🤦🏾

    • @Rosbin
      @Rosbin 10 месяцев назад +1

      ...because I wasn't paying attention at all in class 😭

    • @im_loufr
      @im_loufr 3 месяца назад

      Im sorry😭😭

  • @thatomofolo452
    @thatomofolo452 Год назад

    W 👍👍

  • @eddyherfst2923
    @eddyherfst2923 2 года назад

    👍

  • @jjsdumbshit2792
    @jjsdumbshit2792 4 года назад

    Hi people this good videso would recomedd

  • @Mh-jz1zb
    @Mh-jz1zb 3 года назад

    Nice explaination now my depression has decreaced

  • @evanr566
    @evanr566 5 лет назад +34

    You’re my dad

  • @user-in5sh6ev8n
    @user-in5sh6ev8n 3 года назад

    اختباري بكره أدعوا لي أخ

  • @Dark_academia_
    @Dark_academia_ 2 года назад

    youtube is getting wayyyy too comfortable with 2 adds that you can't skip EVERY 5 seconds 😑😒

  • @bussybishes8253
    @bussybishes8253 4 месяца назад +1

    Im still lost

    • @EvnCie
      @EvnCie 25 дней назад

      Keep practicing.

  • @andrescientos
    @andrescientos 4 года назад +3

    At 9:30 you could've just said
    "Multiply the percentage the angle occupies in a 360 degree circle, with a circumference of 43.96."
    150 Degrees is 41.6% of a 360 Degree Circle that has a Circumference of 43.96.
    Multiply .416 by the circumference 43.96
    BOOM
    You get an Arc of 18.28736
    Round.

  • @snak310
    @snak310 Месяц назад

    so cooked for my regents

  • @clarencec8189
    @clarencec8189 3 года назад

    I got 50.24cm

  • @sanopann1896
    @sanopann1896 10 месяцев назад

    thank you my baby

  • @japojo1958
    @japojo1958 3 года назад +1

    Sorry I can't understand what you are saying. What is an "arcliff?"

    • @fredsigman7674
      @fredsigman7674 3 года назад

      savage

    • @alisha890
      @alisha890 3 года назад

      if you try using some prior knowledge, it’s arc length, use ur head 😑

  • @Nour-sn5ve
    @Nour-sn5ve Год назад

    Syzyhfvde❤😂😮

  • @gretchenl7852
    @gretchenl7852 3 года назад

    I actually dont need this. I just watch math to get myself to fall asleep at night when I cant

  • @TheSplitguy
    @TheSplitguy 2 года назад

    I’m just confused on why this is in my recommended