A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of 115 degree. Find the total area cleaned at each sweep of the blade
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Answer:
Let radius of the area swept be 'r'
r = Length of the wiper = 25 cm
Let the sweeping angle be θ
θ = 115°
Total area swept by the wiper = 2 × Area swept by one wiper
Total area swept by the wiper = 2 × Area swept by 115°
Total area swept by the wiper = 2 × θ/360 × πr²
On substituting the values, we get,
Total area swept by the wiper = 2 × 115/360 × 22/7 × (25)²
Total area swept by the wiper = 2 × 0.319 × 22/7 × 625
∴ Total area swept by the wiper = 1254.96 cm²
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