SSC GD 2021 PYQ — Question 62

SSC GD Constable (English) - 25th November 2021 Shift 3 • Quantitative Aptitude • Q62

Three horses are tied at three verticals of a triangular field, each with 7 m long rope. What is the total area grazed by the horses?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 77 m2.

Given:

Radius = 7 cm

Formula used:

Area of sector of a circle = (θ/360) × πr2        ----- (1)

Calculations:

Total angle of a triangle = 180°

Using equation (1), we get

⇒ Area of the required field = (180/360) × (22/7) × 7 × 7

⇒ (1/2) × 22 × 7

⇒ 11 × 7 = 77 m2