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

$\bf \small\underline{Given:- }$

• Radius (r) = 25 cm
• Sector angle (θ) = 115°

$\bf \small\underline{Solution:- }$

Since there are 2 blades,

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

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

= $2 \times \frac{158125}{252}$cm²

= 1254.96 cm²

= $\frac{158125}{126}$cm²