Q3 of 52 Page 159

In the figure 7.45, if A is the centre of the circle. ∠ PAR = 30°, AP = 7.5, find the area of the segment PQR. (π = 3.14)

Radius of circle, r = 7.5 cm


∠ PAR = θ = 30°


Area(A – PQR), AS:




⇒ AS = 14.71 sq.cm


Also,





⇒ AT = 14.06 sq. cm


Area of segment PQR, AR = AS - AT


⇒ AR = 14.71 – 14.06 = 0.6562 sq.cm


∴ Area of shaded region is 0.6562 sq.cm


More from this chapter

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1

In figure 7.43, A is the centre of the circle. ∠ ABC = 45° and AC = 7√2 cm. Find the area of segment BXC.

 2

In the figure 7.44, O is the centre of the circle. M (arc PQR) = 60° OP = 10 cm.

Find the area of the shaded region. (π = 3.14, √3 = 1.73)


 4

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)

 5

A chord PQ of a circle with radius 15 cm subtends an angle of 60° with the centre of the circle. Find the area of the minor as well as the major segment. (π = 3.14)