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

Answer 1

area of the cleaned = 115°/360° * 22/7 * 25 *25
= 4692.321 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,

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

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

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

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

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