Q10 of 52 Page 160

In the figure 7.47, seg AB is a chord of a circle with centre P. If PA = 8 cm and distance of chord AB from the centre P is 4 cm, find the area of the shaded portion.

Let ∠ APB = θ


Therefore,





⇒ θ = 120°





⇒ AT = 27.68 sq.cm


Also,



⇒ AS = 66.96 sq.cm


Area of shaded region, AR = AS - AT


⇒ AR = 66.96 – 27.68


⇒ AR = 39.28 sq. cm


∴ area of shaded region is 39.28 sq. cm


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