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Question
A car has two wipers which do not overlap. Each wiper has blade of length 25 cm sweeping through an angle of 115°. Find the total area cleaned at each sweep of the blades [Use π = `22/7`]
Solution
It can be observed from the figure that each blade of wiper will sweep an area of a sector of 115° in a circle of 25 cm radius.
Area of such sector = `115^@/360^@ xx pi xx (25)^2`
`= 23/72 xx 22/7 xx 25 xx 25`
`= 158125/252 "cm"^2`
Area swept by 2 blades = `2xx 158125/252`
`= 158125/126 "cm"^2`
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