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Question

Find the area of the shaded portion. A circle in inscrided in a square such that both their centres coincide. BDE is an isosceles triangle. Side of a square is 10 m.
[4 MARKS]

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Solution

Process : 3 Marks
Result : 1 Mark

Area of the square is (10)
× (10) = 100 m2

Given diameter of circle = 10 m

Radius of the circle= 5 m

Area of the circle

= π × (52)

= 78.5m2

Area of the triangle

= 0.5 × (BD) × (DE)

= 0.5 × (10) × (10)

= 50 m2

Area of the shaded region

=Area of square - Area of circle + Area of triangle

= 71.5 m2


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