Areas related to Circles ncert solutions Chapter 12 Exercise 12.3 Question 13
13. In fig, a square OABC is inscribed in a quadrant OPBQ. If, OA=20 cm, find the area of the shaded region (Use
).
Solution:
Area of shaded region= Area of quadrant OPBQ of circle – Area of square OABC (1)
It is given that OABC is a square which means that
which is angle of sector of circle.
Radius of Quadrant of circle =r= Diagonal of square = OB
And, Diagonal of square
cm
Area of Quadrant OPBQ
{where r is the radius and
is the angle of sector of circle.}
(2)
Area of square OABC=side x side=20 x 20=400
(3)
Putting (2) and (3) in (1). we get
Area of shaded portion
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