In the given figure, AB is the diameter of a circle with centre O and OA = 7 cm.

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asked Mar 18 in Class X Maths by muskan15 (-3,437 points)

In the given figure, AB is the diameter of a circle with centre O and OA = 7 cm. Find the area of the shaded  region.

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answered Mar 18 by aditya23 (-2,140 points)

Given OA = 7 cm

Area of small circle = πr2

Where      r = 7/2

∴   Area of circle = 22/7 × 7/2 ×  7/2

= 77/2 = 38.5 sq. cm.

Area of two shaded segment = Area of big semi-circle – Area of  △CBD

= 1/2π × 72 – ½ × 7 × 14

= ½ × 22/7 × 49 – 7 × 7

= 11 × 7 – 7 × 7

= 77 – 49 = 28 sq. cm

∴   Total shaded Area = 38.5 + 28

= 66.5 sq. cm.

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