Question

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

Answer 1

Answer:

Step-by-step explanation:Let the wiper be a sector of a circle with an angle of 115 and radius of 25 cm

By using area of sector formula we can find area cleaned by one weeper

To get the total area cleaned by weeper we should have to multiply the area of sector with 2 which we get on previous sum

For brief explanation please see the attach ment

The total area cleaned by the wiper is 8784.72..

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Answer 2

Given,

Radius (r) = 25 cm

Sector angle (θ) = 115°

Since there are two blades,

The total area of the sector made by wiper,

$= 2 \times ( \frac{θ}{360} ) \times \pi {r}^{2}$

$= 2 \times ( \frac{115}{360} ) \times ( \frac{22}{7} ) \times {25}^{2}$

$= 2 \times \frac{158125}{252} \: \: {cm}^{2}$

$= \frac{158125}{126} \: \: {cm}^{2}$

$= 1254.96 \: \: {cm}^{2}$