Question

What is the Area of the incircle of an equilateral triangle with side 6cm?

Answer 1

Hello!
Draw the diagram like I did in the picture and solve it :)

Answer 2

Answer:

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

Step-by-step explanation:

The side of equilateral triangle is 6 cm.

The radius of the incircle of an equilateral triangle is

$r=\frac{\sqrt{3}}{6}a$

Where, a is side length of equilateral triangle.

The radius of circle is

$r=\frac{\sqrt{3}}{6}(6)=\sqrt{3}$

The area of incircle is

$A=\pi r^2$

$A=\pi (\sqrt{3})^2$

$A=3\pi$

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