Question

Find the area of the shaded region in the given figure, if radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and ∠AOC = 40° [Use Π = 22/7]

Answer 1

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Radius of inner circle = 7 cm

Radius of outer circle = 14 cm

Area of shaded region = Area of sector OAFC − Area of sector OBED

`= 40^@/360^@ xx pi(14)^2 - 40^@/360^@ xx pi(7)^2`

`= 1/9xx22/7xx14xx14-1/9xx22/7xx7xx7`

`= 616/9-154/9=462/9`

`= 154/3 cm^2`