Square ABCD is inscribed in a circle whose radius is 4cm. Calculate the area of the square.

A 16

B 32

C 48

D None

Solution

Correct Answer: Option B

Diameter = 2 × 4 = 8 cm = diagonal of the square 

let, the side of square is x 

√2x = 8 
⇒ x = 8/√2

∴ Area of the square = x2 
                              = (8/√2)2 
                              = 64/2
                              = 32 sq. cm

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