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## In the given figure, O is centre of the circle with AC = 24 cm, AB = 7 cm and ∠BOD = 90°. Find the area of the shaded region. Mathematics CBSE class 10 2017

In the given figure, O is centre of the circle with AC = 24 cm, AB = 7 cm and ∠BOD = 90°. Find the area of the shaded region.

By:tarun101

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## Answers

(BC)^2=(576+49)^2 centimeter-squareBC=25centimeter

BC is diameter of the circle

OC = the radius of the circle=25/2=12.5centimeter

Area of the sector COD,(A2)

A2=theta/360 degree x pi x radius^2

A2=90 degree/360 degree * 22/7 *25/2*25/2

A2=122.77 centimeter square

Area of the circle(A3)=pi*radius^2

A3=22/7*25/2*25/2

Area of the shaded region =Area of the circle(Area of the Triangle ABC + Area of the sector COD)

Area of the shaded regions=A3(A1+A2)

Area of the shaded regions=284.30 centimeter-square.

aksingh1818

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