Question

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

Answer 1

solution: angle of each wiper= 115*

radius= 25

area cleaned at each sweep of the blade= area of sector formed by wiper

= 115/360×πr^2

= 115/360 × 22/7 ×25×25

= 158125/252cm^2

area cleaned by two wiper's blades

= 2×158125/252

= 158125/126cm^2 answer

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,

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

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

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

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

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