Question

Consider an equilateral triangle in which the
length of one side is 6 cm. Find the radius of the
incircle of the triangle.​

Answer 1

Explanation:

The side of equilateral triangle is 6 cm.

The radius of the incircle of an equilateral triangle is

r = (sqrt(3))/6 × a

Where, a is side length of equilateral triangle.

The radius of circle is

r = √(6)=√3

The area of incircle is

A = π × r ^ 2

A = π × (sqrt(3)) ^ 2

A = 3π

The area of incircle of an equilateral triangle with side 6cm is 3π cm².