In the give figure, the sectors of two concentric circles of radii 7 cm and 3.5 cm are shown. Find the area of the shaded region.

Question

Philoid · Accepted Answer

Given,

Radius of smaller circle = R₁ = 3.5 cm

Radius of bigger circle = R₂ = 7 cm

Angle subtended = 30°

Area of Shaded region = =

= 22/7 × (7² – 3.5²) × 30/360 cm²

= 22/7 × (49 – 12.22) × θ/360 cm²

= 9.625 cm²

∴ Area of shaded region = 9.625 cm²