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Find the area of the shaded region.

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AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O. If ∠AOB = 30°.
NCERT Class 10 Math’s Chapter 12
Page No. 237
Exercise 12.3
Question No. 14

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1 Answer

  1. Area of shaded region = Area of sector OAEB – Area of sector OCFD
    = 30°/360° × π × (21)² – 30°/360° × π × 7²
    = 1/12 × π[441 – 49]
    = 1/12 × 22/7 × 392 = 308/3 cm²

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