If radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and ∠ AOC = 40°.
NCERT Class 10 Chapter 12 AREAS RELATED TO CIRCLES
Page No. 235
Exercise 12.3
Question No. 2
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Radius of smaller circle = 7 cm
Radius of larger circle = 14 cm
Area of shaded region
= Area of sector OAFCO – Area of sector OBEDO
= 40°/360° × π(14)² – 40°/360° × π(7)²
= 1/9 × 22/7 × 14 × 14 – 1/9 × 22/7 × 7 × 7
= 616/9 – 154/9 = 462/9 = 154/3 cm²
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