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Q.

A car has two wipers which do not overlap. Each wiper has a blade of length Question Image sweeping through an angle of Question Image.find the total area cleaned at each sweep of the blades.

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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

Area of the sector Question ImageSince there are two wipers of the car which means they will be swiping twice the area of a sector so we multiply the area of sector by 2
Therefore, the total area swept by the blades will be Question Image Now substituting the value of radius of wiper and angle made by the wiper Question ImageOn solving we get
Question ImageTherefore, the total area swept by the pair of wipers will be Question ImageSo, option 1 is correct.
 
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