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Question 11
A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of 115. Find the total area cleaned at each sweep of the blades.

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Solution

Angle of the sector of circle made by wiper =115
Radius of wiper = 25 cm
Area of the sector making angle θ
=(θ360)×πr2
Area of the sector made by wiper
=(115360)×πr2 cm2
=2372×227×252
=2372×227×625 cm2
=158125252 cm2
Total area cleaned at each sweep of the blades
=2×158125252 cm2
=158125126=1254.96 cm2

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