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Question

The area of the greatest circle which can be inscribed in a square whose perimeter is 120 cm is :


Options:
A .  `22/7 xx (7/2)^2 cm^2`
B .  `22/7 xx (9/2)^2 cm^2`
C .  `22/7 xx (15/2)^2 cm^2`
D .  `22/7 xx (15)^2 cm^2`
Answer: Option D

Side of the square =  `120/4 ` cm = 30 cm

Radius  of the required circle = `(1/2 xx 30)` cm = 15 cm

Area of required circle = `[pi xx (15)^2] cm^2`

                                       = `[22/7 xx (15)^2]cm^2` 



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