Question

An equilateral triangle ABC with side 6 cm ,is inscribed in a circle find the radius of the circle

Answer 1

The answer of this question is 2× 1.732=3.464cm

Answer 2

Answer:

Radius of the circle is 3.464 cm.

Step-by-step explanation:

Given : An equilateral triangle ABC with side 6 cm, is inscribed in a circle.

To find : The radius of the circle?

Solution :

The formula to calculate radius of circle of equilateral triangle is give by,

$r=a\frac{\sqrt3}{3}$

Where, r is the radius of the circle

and a is the side of the triangle.

We have given a=6 cm side of the triangle.

Substitute in the formula,

$r=6\times\frac{\sqrt3}{3}$

$r=6\times\frac{1.732}{3}$

$r=6\times0.5773$

$r=3.464$

Therefore, Radius of the circle is 3.464 cm.