Question

What is the ratio of area of circum circle and in circle of an equilateral

Answer 1

Explanation:

given triangle ABC= equilateral triangle

Let radius of in circle be,r and redius of circumcircle be R

in

Triangle OBD,angle OBD =30°,angle OBD =90° =>R= 2r

Let area of in circle be Ai and area of circumcircle be Ac

=>Ai/Ac = Pai r2/pai(R2)= pai r2/pai(2r)2=1/4

hence Ai:Ac :1:4