In the given figure, PQ and AB are respectively the arcs of two concentric circles of radii 7 cm and - Maths -

Question

In the given figure, PQ and AB are respectively the arcs of two
concentric circles of radii 7 cm and 3 5 cm with centre O If
∠POQ = 30°, find the area of the shaded region [CBSE
2012]

Global Expert · Accepted Answer

Area of the shaded portion = Area of sector OPQ − Area of
sector OAB
=30°360°×π72-30°360°×π3
52=227×11272-3
52=227×11272-722=227×112×1474=778 cm2
Hence, the area of the shaded portion is 778 cm2

In the given figure, PQ and AB are respectively the arcs of two concentric circles of radii 7 cm and 3.5 cm with centre O. If ∠POQ = 30°, find the area of the shaded region. [CBSE 2012]