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]
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