instead of comparing similar triangles, i compared areas. Area of that triangle made with radii 3 & 4 is 0.5(3)(4) = 6 From another angle, it's 0.5(5)h = 6 (making 5 the base, the line segment joining the two centres) h = 12/5 (this is the radius of the circle of intersection) Use pythagoras to find the "scalar projection" length z = sqrt(3^2 - (12/5)^2) = sqrt(81/25) therefore z = 9/5 equation of circle of intersection on the plane z = 9/5 is x^2 + y^2 = 144/25 (and z = 9/5) so radius of cicle of intersection is 12/5 centre at (0, 0, 9/5)
instead of comparing similar triangles, i compared areas.
Area of that triangle made with radii 3 & 4 is 0.5(3)(4) = 6
From another angle, it's 0.5(5)h = 6 (making 5 the base, the line segment joining the two centres)
h = 12/5 (this is the radius of the circle of intersection)
Use pythagoras to find the "scalar projection" length
z = sqrt(3^2 - (12/5)^2) = sqrt(81/25)
therefore z = 9/5
equation of circle of intersection on the plane z = 9/5 is
x^2 + y^2 = 144/25 (and z = 9/5)
so radius of cicle of intersection is 12/5
centre at (0, 0, 9/5)
yeah its an easy method
Great video sir... ♥️♥️♥️
9:29 when a proffeser becomes a *master* at math.
Ratio of two numbers is 3 : 4
And their HCF = 4
What is the LCM= ?
#hshmaths313
let me guess the future.......tomorrow he will be uploading a integration video i promise.
😘😘😘😘💛💛💛🥕🥕🥕
Thank you.
5-2+6÷3 = ?
If your answer is 1 or 3 then you are Wrong
#hshmaths313
It's 5 right?