SSC MTS 2022 PYQ — Question 75

SSC MTS - 19 July 2022 - Shift 2 • Quantitative Aptitude • Q75

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 π=227π = \frac{22}{ 7} ]

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 176 cm.

The circumference of the circle = The perimeter of the equilateral

2 × (22/7) × 84 = 3 × side

⇒ 2 × 22 × 12 = 3 × side

⇒ 8 × 22 = side

Thus, side = 176 cm