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AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O (see Fig. 12.32).If ∠AOB = 30°, find the area of the shaded region.Q.14

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Give me the best solution of ncert class 10  areas related to circle . Find the best solution of exercise 12.3 question no. 14 please help me to solve the best solution of this question. AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O (see Fig. 12.32). If ∠AOB = 30°, find the area of the shaded region.

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  1. Radius of the larger circle, R = 21 cm

    Radius of the smaller circle, r = 7 cm

    Angle made by sectors of both concentric circles = 30°

    Area of the larger sector = (30°/360°)×πRcm2

    = (1/12)×(22/7)×21cm2

    = 231/2cm2

    Area of the smaller circle = (30°/360°)×πrcm2

    = 1/12×22/7×7cm2

    =77/6 cm2

    Area of the shaded region = (231/2) – (77/6) cm2

    = 616/6 cm2 = 308/3cm2

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