1.

In the given figure, two concentric circlewith center O have radii 21cm and 42cm.If <AOB-60° find the area of theshade region.

Answer»

First see,area of the ring =π (42² - 21²) = 4158 cm²now, we have to remove some parts,that part = (sector formed by bigger circle) -( sector formed by smaller circle) =π (42)²×60°/360 -π(21)²×60°/360° =(π/6)×(42² -21²) = 693 cm²so the required area = 4158 - 693 = 3465 cm²



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