SSC CGL 2016 PYQ — Question 57

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q57

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

Figure for the explanation of question 57

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