Areas related to Circles ncert solutions Chapter 12 Exercise 12.3 Question 9
9. In diagram, AB and CD are two diameters of a circle (with center O) perpendicular to each other and OD is the diameter of the smaller circle. If, OA=7 cm, find the area of the shaded region.
Solution:
Area of shaded region = Area of smaller circle (shaded) + Area of two segments of circle which are shaded (1)
Radius of smaller circle (shaded)
cm
Area of smaller circle (shaded)
(2)
Area of 1 segment of circle = Area of sector OBC – Area of
Area of 2 segments (which are shaded)
(3)
Putting (2) and (3) in (1), we get
Area of shaded region =38.5+28=66.5
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