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Ac and Bd Are Two Perpendicular Diameter of a Circle Abcd. Given that the Area of Shaded Portion is 308 Cm2 Calculate: - Mathematics

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Question

 AC and BD are two perpendicular diameter of a circle ABCD. Given that the area of shaded portion is 308 cm2 calculate:
(i) The length of AC and
(ii) The circumference of circle

Sum
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Solution

(i) Let r be the radius of the circle.
Then `1/2 π r^2` = 308

r2 = 308 x 2 x `7/22` = 142
r = 14 cm

Now, AC = 2r = 28 cm

(ii) Circumference = 2πr
Circumference = `22/7` x 28
Circumference = 88 cm

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