Math, asked by brother9425280578, 1 year ago

what is the ratio of incircle and circumcircle of a square


BrainlyHulk: hey
BrainlyHulk: do you need ratio of area
brother9425280578: ya
brother9425280578: sorry for giving incompelete answer
BrainlyHulk: ok
brother9425280578: so find it

Answers

Answered by BrainlyHulk
6
Hey Friend ✋✋

let that side of the square be "a"

Radius of incircle is a/2

Radius of circumcircle is √2 a / 2 = a /√2

area of incircle = π × a²/2²

= π × a²/4

area of circumcircle = π × ( a / √2 ) ²

= π a² / 2

ratio \:  =  \frac{ \frac{\pi {a}^{2} }{4} }{ \frac{\pi {a}^{2} }{2} }

= 2/4

= 1:2


Hope it helps

brother9425280578: correct
BrainlyHulk: :)
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