SSC CGL 2021 PYQ — Question 65

SSC CGL - 23 Aug 2021 - Shift 3 • Quantitative Aptitude • Q65

The perimeter of a circular lawn is 1232 m . There is 7 m wide path around the lawn. The area (in m2 ) of the path is :( Take π = 227\frac{22}{7})

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 8778

Perimeter = 2πr

Area of the path = π(R2 - r2)

2πr = 1232

πr = 616

22/7 × r = 616

r = 196

Radius with the path = 196 + 7 = 203

Area of the path = π(2032 - 1962)

= 22/7 × 399 × 7

= 8778