.In the given figure, the boundarof shaded region consists of fouisemicircular arcs two smaller beingequal. If diameter of the largest is 14cm and that of the smallest is 3.5 cmcalculatc the area of the shaded regiorn(Use Ď = 22] A:06-62 dCBSE 2010]

.In the given figure, the boundarof shaded region consists of fouisemi

1.	.In the given figure, the boundarof shaded region consists of fouisemicircular arcs two smaller beingequal. If diameter of the largest is 14cm and that of the smallest is 3.5 cmcalculatc the area of the shaded regiorn(Use Ď = 22] A:06-62 dCBSE 2010]
Answer» Diameter of biggest semi circle = 14cm.Diameter to two small semi circle = 3.5cm.Diameter of other semi circle = 14-(2×3.5) = 7cm.Area of biggest semi circle = 1/2×(pi)×7^2 cm^2.Area of two small semi circle = (pi)×1.75^2 cm^2.Area of other semi circle = 1/2×(pi)×3.5^2 cm^2.Area of shaded region = (pi)×(24.5-3.0625+12.25) = (pi)×27.5625 cm^2= 86.59 cm^2.