A railing of 288 m is required for fencing a semi-circular

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A railing of 288 m is required for fencing a semi-circular park. Find the area of the park. (π = 22/7)

1. 4928 m²
2. 9865 m²
3. 8956 m²
4. 9856 m²

Correct Option: A

Let the radius of the park be r, then
πr + 2r = 288
(π + 2)r = 288
⇒ [(22/7) + 2]r = 288
⇒ r = (288 x 7)/36 = 56

∴ Area of the park = (1/2)πr²
= (1/2) x (22/7) x 56 x 56
= 4928