Question

if the radius of a circumcircle of an equilateral triangle is 6 cm ,then find the radius of its incircle.

Answer 1

hey mate.
here's the solution

AS centroid divides the median in ratio 2:1

and centroid,circumcentre,incentre coincide in equilateral triangle

Now refer to attachment

Answer 2

Answer: Radius of its incircle is 3 cm.

Step-by-step explanation:

Since we have given that

Radius of a circumcircle of an equilateral triangle = 6 cm

We need to find the radius of incircle.

As we know the relation between Radius of circumcircle and incircle of an equilateral triangle.

$R=2r\\\\here,\\\\R=6\\\\So, 6=2r\\\\\frac{6}{2}=r\\\\r=3\ cm$

Hence, Radius of its incircle is 3 cm.