Question

Side of square ABCD is 7 cm. With D as the centre and DA as radius, arc AXC is drawn.Find the area of the shaded region with the help of the following flow chart .

Answer 1

Area of square ABCD = side²
                                   = 7²  
                                   = 49 cm²
Sector D-AXC =` θ/360 `× πr²
                       = `90/360 × 22/7 × 7^2`
                       = `1/4 × 22/7 × 7 × 7`
                       = `154/4`
                       = `38.5 cm^2`
∴ Area of shaded portion = 49 - 38.5
= `10.5  cm^2`