The area of a circular park is 12474 m², There is 3.5 m…

The area of a circular park is 12474 m², There is 3.5 m wide path around the park. What is the area (in m²) of the path? (Take $\pi = \frac{22}{7}$ )

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 1424.5

Area of a circle = πr²

⇒ (22/7)r² = 12474

⇒ r² = 3969

⇒ r = 63 cm

Area of the park = π(66.5)² - π(63)²

⇒ π(66.5 + 63)(66.5 - 63)

⇒ (22/7) × 129.5 × 3.5

⇒ 11 × 129.5 = 1424.5

SSC CGL 2021 PYQ — Question 70