Let us rather say that the radius of the small circles is 1. Then the ratio of (1+1) to 1 is equal to the ratio of (1+1+1+R) to R. Accordingly: 2/1=(3+R)/R R=3 The radius of the large circle is therefore three times as large as that of the small circles. The area is correspondingly 9 times larger, i.e. in the sense of the task (A_small=1) exactly 9.
@@TiagoSilvaMachado Yes, but the radius is not 3, but three times bigger than the radius of the circle with area 1. So the area is nine times bigger than 1.
3 because distance between dot and bigger circle is 3 times distance of dot and smaller circle, and bigger circle just a scale of smaller one. scaling is very fast tool if used correctly edit : sorry forgot it is asking the area answer is 9.
Its 9, cause you square the scale factor, but your method is the best I've seen. Except I think it needs justification that the radius of any circle between those 2 lines is proportional to its distance from their intersection. Intuitively it's obvious as if you zoomed into the smaller circle it would look identical to the bigger circle.
Hello! If the link doessn't work for you, the title of the full video is "Fun Geometry Challenge" from June 21. I hope you guys love it!
Shorts are bad for math.
Bro says "little" like Alan from smiling friends 😂
Can do all this math but fumbles when saying the word “little”
This version doesn't have much of the turbo growth beard...
You were right. It was a fun one.
Its 9 isn't it, similar triangles gives r/(2r) = R/(3r+R)
bro what is the app you use to do this?
but the 2 small circles are different sizes, how do they both have an area of one??? :(
This is cool
Is it an illusion or is the leftmost circle bigger than the other one
Let us rather say that the radius of the small circles is 1. Then the ratio of (1+1) to 1 is equal to the ratio of (1+1+1+R) to R. Accordingly:
2/1=(3+R)/R R=3
The radius of the large circle is therefore three times as large as that of the small circles. The area is correspondingly 9 times larger, i.e. in the sense of the task (A_small=1) exactly 9.
If the radius of a circle is three the area is 9π.
Area=πr²
@@TiagoSilvaMachado Yes, but the radius is not 3, but three times bigger than the radius of the circle with area 1. So the area is nine times bigger than 1.
0:00
9
3 because distance between dot and bigger circle is 3 times distance of dot and smaller circle, and bigger circle just a scale of smaller one.
scaling is very fast tool if used correctly
edit : sorry forgot it is asking the area answer is 9.
Forgot to find the area.
Its 9, cause you square the scale factor, but your method is the best I've seen.
Except I think it needs justification that the radius of any circle between those 2 lines is proportional to its distance from their intersection. Intuitively it's obvious as if you zoomed into the smaller circle it would look identical to the bigger circle.
But whats r
I mean the value
@@JoaoGabriel-ew4icsqrt(1/π)
Correct!
Here is a cookie🍪
Now whats the value of r if:
2×pi×r=1
@@JoaoGabriel-ew4ic(1/2π)
This is not a fun one