Question

Find the ratio of the areas of the incircle and circumcircle of a square​

Answer 1

Answer:

1:4

Explanation:

Given ΔABC= equilateral triangle

Let radius of in-circle be r, and radius of circumcircle be R.

In ΔOBD,∠OBD=30∘,∠ODB=90∘⇒R=2r

Let area of in-circle be AI and area of circumcircle be AC,

⇒AIAC=πr2π(R2)=πr2π(2r)2=14

Hence, AI:AC=1:4

Answer 2

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