Q4 of 52 Page 159

In the figure 7.46, if O is the centre of the circle, PQ is a chord. ∠ POQ = 90°, area of shaded region is 114 cm2, find the radius of the circle. (π = 3.14)

Area Of shaded region, AR = 114 sq.cm


Area of sector (O-PRQ),AS = one-fourth of area of circle




Area of Shaded Region, AR = AS – AT





⇒ r = 20 cm


∴ Radius of the circle is 20 cm


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