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Question

How would you go about finding the area of the shaded region?


A

(Area of I + Area of II) + (Area of III + Area of IV)

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B

(Area of I + Area of III) + (Area of II + Area of IV)

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C

(Area of I + Area of IV) + (Area of II + Area of III)

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D

(Area of I + Area of II) × 2

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Solution

The correct option is B

(Area of I + Area of III) + (Area of II + Area of IV)



We would find the area of unshaded region that are opposite to each other and by taking them in pairs.
Area of shaded regions, I +III = II+IV = Area of square - Area of 2 semicircles(which includes I and III as the shaded portions)
=side22×πr22
=side2πr2


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