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CDS 2023 · PYQ · Geometry · medium

What is the area of the region between two concentric circles if the chord of the outer circle of length 14 cm is a tangent of the inner circle? (Take π = 22/7)

  1. A.144 sq cm
  2. B.132 sq cm
  3. C.125 sq cm
  4. D.154 sq cm✓ Correct

Explanation

Half-chord = 7 is perpendicular from center to chord, equals inner radius. R² − r² = 49 (Pythagoras). Area = π(R²−r²) = 22/7 · 49 = 154 sq cm.
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