Question

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

Answer 1

Length of wipers=25cm

x=115°

Area which swept=x/360πrsquare

=115/360*22/7*25*25

=23/36*11/7*625

Total area to sweep=2*23/36*11/7*625

=158125/126

=1254.96cm square
Therefore total area cleaned = 1254.96 cm square

Hope it helps u.....

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,

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

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

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

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

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