The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 84 cm, then what will be the length of each side of the equilateral triangle? [Use $$\pi = \frac{22}{7}$$]

Let's assume the radius of circle and length of each side of the equilateral triangle are 'R' and 'a' respectively.

The circumference of a circle is equal to the perimeter of an equilateral triangle.

circumference of a circle = perimeter of an equilateral triangle

$$2\times\ \pi\ \times\ R\ =\ 3\times a$$

If the radius of the circle is 84 cm.

$$2\times\ 22\times12\ =\ 3\times a$$
$$2\times\ 22\times4\ =\ a$$
a = 176 cm

The length of each side of the equilateral triangle = 176 cm