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

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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.

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(BC)^2=(576+49)^2 centimeter-square
BC=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
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=284.30 centimeter-square.

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