SSC CGL 2022 PYQ — Question 58

SSC CGL - 20 April 2022 - Shift 1 • Quantitative Aptitude • Q58

The inner circumference of a circular path enclosed between two concentric circles is 264m. The uniform width of the circular path is 3m. What is the area (in m2), to the nearest whole number of the path? (Take Π = 227\frac{22}{7})

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 820

Formula used:

Circumference of circle = 2πr

Area of circle = πr2

Calculations:

According to the question:

⇒ 2πr = 264

⇒ r = 264/2π

⇒ 42 m

As we know that, width is 3 m

So the outer radius is = 42 + 3 = 45 m

Area of circular path = π(452 - 422)

⇒ π(261) = 820.28 ≃\simeq 820 m2.