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The perimeter of a square and a circular field are the same. If the area of the circular field is 3850 sq metres,what is the area (in m²) of the square?
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- 4225
- 3025
- 2500
- 2025
- 4225
Correct Option: B
Using Rule 14,
Area of circular field = πr² = 3850 sq.m.
⇒ πr² = 3850
| ⇒ r² = | × 7 | |
| 22 |
⇒ r² = 1225
∴ r = √1225 = 35m
Now, circumference of circle = 2πr
| = 2 × | × 35 = 44 × 5 = 220 m | |
| 7 |
∴ According to question,
Perimeter of Square = Circumference of circle
Let side of square be x m. then, 4x = 220m
⇒ x = 55m
∴ Area of square = x² = 55 × 55 m² = 3025 m²
