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 and then area of the space enclosed between the circumference of the circle is  - Zigya
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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 and then area of the space enclosed between the circumference of the circle is 

  • 4200 cm2

  • 2100 cm2

  • 7000 cm2

  • 7200 cm2


A.

4200 cm2



Radius of ecah circle = 
Area of the four sectors = 
Area of square = (side)2 = (140)2 = 19600 cm2
∴  Area of enclosed space = (19600 - 15400) cm2
                                      = 4200 cm2

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