# 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 . - Geometry

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 .

#### Solution

Area of square ABCD = side2
= 7
= 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

Concept: Theorem - Converse of Tangent at Any Point to the Circle is Perpendicular to the Radius
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