Question

The area of a circle is 220 cm². The area of ta square inscribed in it is

(a) 49 cm²

(b) 70 cm²

(c) 140 cm²

(d) 150 cm²

Answer 1

Let BD be the diameter and diagonal of the circle and the square respectively.

We know that area of the circle

Area of the circle

Multiplying both sides of the equation by 7 we get,

Dividing both sides of the equation by 22 we get,

As we know that diagonal of the square is the diameter of the square.

………(1)

Substituting in equation (1) we get,

Area of the square

Therefore, area of the square is.

Hence, the correct answer is option (c).