In figure 7.35, □

Since part x is a sector of a circle with radius, r = 14 cm and the central angle is 90°, so the area of x will be equal to one-fourth of the area of circle with PQ as radius.

Area of circle with PQ as radius = π (PQ)2

x = 154 sq. cm

Similarly, area y is also equal to one-fourth od area of circle with radius, r = QR – PQ

r = 21 – 14 = 7 cm

Area of circle with r as radius = π (r)2

y = 38.5 sq. cm

Also,

z = Area of rectangle(PQRS) – x – y

Area of rectangle = PQ× QR

Area of rectangle = 14× 21 = 294 sq. cm

z = 294 – 154 – 38.5

z = 101.5 sq.cm

the area of x, y and z are 154 sq.cm, 38.5 sq.cm and 101.5 sq.cm respectively

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