Q31 of 47 Page 1

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


Given AC = 24 cm

AB = 7 cm



As BC is diameter of the circle, triangle BAC is right angled triangle


(


Using Pythagoras theorem,





Area of


(As )


r = radius of circle


theta is angle of the sector


Area of sector COD


(As diameter = 25 cm)



Area of circle




Area of shaded region = area of circle – Area of – Area of sector COD





Conclusion: Therefore, area of shaded region is


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