Question

Find the area of the shaded portion in the following figure.

Answer 1

Area of shaded region = Area of the circle – Area of four triangles – Area of a square

Area of four triangles = `4 xx 1/2 xx "Base" xx "Height"`

= `4 xx 1/2 xx 7 xx 7`

= `(4 xx 49)/2`

= 2 × 49

= 98 cm²

Area of a square = (Side)²

= (7)²

= 49 cm²

Area of the circle = πr²

= `22/7 xx 21/2 xx 21/2`

= `(11 xx 3 xx 21)/2`

= `693/2`

= 346.5 cm²

Area of shaded region = (346.5 – 98 – 49)

= 199.5 cm²