# A car has two wipers that do not overlap. Each wiper has a blade of length 21 cm sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades. ("Take" π =22/7) - Mathematics

Sum

A car has two wipers that do not overlap. Each wiper has a blade of length 21 cm sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades. ("Take" π =22/7)

#### Solution

Radius = r = 21 cm

sweeping angle = 120°

Total area cleaned by two wipers =2xx "area cleaned by one wiper"

Total area cleaned by two wipers=2xx  "area of sector with"  120^@

=2 xx theta /360 xx pi"r"^2

On substituting the values =2 xx 120/360 xx 22/7 xx(21)^2

=2 xx 120/360 xx 22/7 xx 441

= (2 xx 22 xx 147)/7

=6468/7 = 924

Therefore, area cleaned by both wipers is 924 cm2

Concept: Areas of Sector and Segment of a Circle
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