Question

In the figure A, B, C and Dare the points on the square which touches the circle. If the radius of the circle is 6.

a. What is the length of one side of the square?

b. Find the area of the circle.

c. What will be the area of the shaded portion?

Answer 1

a. Diameter of the circle = 6 × 2 = 12 cm

Side of the square = 12 cm

b. Area of the circle = n r²

= n × 6 × 6 = 36n = 36 × 3.14 = 113.04 cm²

c. Area of the square = 12 × 12 = 144 cm²

Area of the shaded portion = 144 – 113.04 = 30.96 cm²