Question

HEYE,






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In the figure, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.​

Answer 1

Answer:

HEYE,

$\huge \fbox \red{❥ Question}$

In the figure, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Radius of bigger circle r1 = OA =7

Radius of smaller circle R2 = r1/2 = 7/2

Area of the bigger circle CC1 = π r1 ^2

22/7 × 7 × 7

=154cm^2

Area of the semicircle = 154/ 2 cm^2

=77cm^2

Area of the smaller circle C2 = πr 2^2

22/7 × 7/2 ×7/2

= 77/2

Area of the unshaded triangle △ABC= 1/2 × AB ×OC

1/2 ×14×7

=49cm ^2

∴ Area of the shaded portion =Area of the smaller circle +(Area of semicircle -Area of the triangle △ABC)

= 77/2 + (77-49) =66.5cm^2

hope it helps you

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