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Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square is 140 cm then area of the space enclosed between the circumference of the circle is (Take π = 22/7)
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- 4200 cm²
- 2100 cm²
- 7000 cm²
- 2800 cm²
- 4200 cm²
Correct Option: A
| Radius of each circle = | = 70 cm | |
| 2 |
Area of the four sectors = πr²
| = | × 70 × 70 = 15400 sq. cm. | |
| 7 |
Area of square = (140 × 140) sq. cm. = 19600 sq. cm.
∴ Required area = (19600 – 15400) sq. cm.
= 4200 sq. cm.
