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A 7 m wide road runs outside around a circular park, whose circumference is 176 m. The area of the road is :
[use π = 22/7 ]
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- 1386 m²
- 1472 m²
- 1512 m²
- 1760 m²
- 1386 m²
Correct Option: A
Using Rule 14,
If the radius of the circular park be r metre, then 2πr = 176
| = 2 × | × r = 176 | |
| 7 |
| ⇒ r = | = 28 metre | |
| 2 × 22 |
Radius of the park with road = 28 + 7 = 35 metre
| ∴ Area of the road = | (35² - 28²) | |
| 7 |
| = | × 63 × 7 = 1386 m² | |
| 7 |