Question

OA and OB are two mutually perpendicular radii of a circle of radius 10.5 cm. D E OB and OD = 6 cm. Find the area of blue coloured region shown in figure 13.23.

Answer 1

Given :

Radius of sector OACB(r) = 10.5 =105/10= 21/5 cm

θ = 90°

For ∆ AOD , OA = 10.5 cm , OD = 6cm

Area of blue Coloured region = Area of sector OACB - Area of ∆AOD

Area of blue Coloured region = (πr²θ)/360° - ½ OA× OD

= (22/7 × 21/2 × 21/2 × 90°/360°) - ½ × 21/2 × 6

=( 11 × 3 × 21)/8 - 63/2

= 693/8 - 31.5

= 86.625 - 31.5

Area of blue colour region = 55.125 cm²

Hence, the Area of blue Coloured region = 55.125 cm²

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Answer 2

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