Question

A car has two wipers which do not overlap each wiper has a blade of 25 cm sleeping through an angle of 115°. Find the total area cleaned at each side of the blades.


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Answer 1

Answer:  1253.82 square cm

Step-by-step explanation:

The total area cleaned at each side of the blades = 2× the total area covered by one blade

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

$= \frac{230\times 625}{360} \times 3.14$

$= \frac{451375}{360}$

$= 1253.81944\text{ square cm} \approx 1253.82\text{ square cm}$

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,

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

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

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

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

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