Question

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

Answer 1

Answer:

1254.96

Step-by-step explanation:

total area cleaned at each sweep

= 2 × 115/360 * πr^2

= 115/180 * 22/7 * (25)^2

= 1254.96 cm^2

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,

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

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

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

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

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