Answer :
Given two concentric circles with centre O having radii 21 cm and 42 cm.
We know that area between the circles = π (R2 – r2)
⇒ Area = (22/7) (422 – 212)
= (22/7) (1323)
= 4158 cm2
Angle subtended by the arc in the inner circle = 60°
Area of the sector in the inner circle = 231 cm2
Angle subtended by the arc in the outer circle = 60°
Area of the sector in the outer circle = 924 cm2
Area of the portion of the sector in between the circles = 924 – 231 = 693 cm2
Area of the shaded portion = Area between the circles – area of the portion in between the circles
= 4158 – 693
= 3465
∴ The area of the shaded region is 3465 cm2.
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