Question

The radius of circumcircle of an equilateral triangle of side 12 cm is

Answer 1

side=a=12cm

because centroid of circumcircle coincides with its circumcentre.

So side of equilateral triangle=r×root3=12

r=4root3cm

Answer 2

Answer: The radius of circumcircle is 4√3 cm.

Step-by-step explanation:

Since we have given that

Side of equilateral triangle = 12 cm

a = 12 cm

We need to find the radius of circumcircle of equilateral triangle.

As we know the formula for circumcircle.

$R=\dfrac{a}{\sqrt{3}}\\\\R=\dfrac{12}{\sqrt{3}}\\\\R=\dfrac{4\times 3}{\sqrt{3}}\\\\R=4\sqrt{3}$

Hence, the radius of circumcircle is 4√3 cm.