Four circles of equal radii are described as 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 the area of the space enclosed between the circumference of the circles is: (take
)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 4200cm2
| Application |
|
Radius of each circle = side/2 = 140/2 = 70 cm. Area of four sectors = 22/7 × 70 × 70 = 15400 cm2 Area of square = side2 = 1402 = 19600 cm2 Area of enclosed space = (19600 - 15400)cm2 = 4200cm2 |
