A largest square play court is prepared inside a circular ground of radius 8 m. The cost (in Rs) of

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03 Feb 2022 Area and Volume

A largest square play court is prepared inside a circular ground of radius 8 m. The cost (in Rs) of making court at the rate of Rs. 120 per m² is

OPtion

1) 13560
2) 16530
3) 15630
4) 13650
5) 15660
6) 15330
7) 15360
8) 16350
9) 30720
10) None of these

Solution

The largest square has diagonal equal to diameter of a circle=2r=16 m.
Diagonal² = 2 x Side²
16² = 2 x Side²
Side² = 128 = Area of a square
.'. Required cost = 128 x 120 = 15360 Rs.

Correct Option: 7 Best Solution (1)