In the given figure, two concentric circles with center O have radii 21 cm and 42 cm. If
, find the area of the shaded region. [Use
=
]

Required area = area of outer circle - area of inner circle - (area of sector OAB - area of OCD)
Given, radius of outer circle, R = 42 cm
Radius of inner circle, r = 21 cm
Angle of sector, θ = ∠AOB = ∠COD = 60°
Also, area of a circle with radius 'r' is πr2
area of a sector with angle θ and radius r is ![]()
Using formulas,
Required area ![]()
Putting values,
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