Question

A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of ${115}^{\circ }$. Find the total area in $c{m}^2$ cleaned at each sweep of the blades. [2 MARKS]

Answer 1

Formula: 1 Mark
Application: 1 Mark

Area of the sector
$=\frac{\theta }{360}\times \pi r^2$

$r=25cm$

$\theta ={115}^{\circ }$

Total Area
$=2\times \frac{115}{360}\times \pi \times {25}^2=1254.46c{m}^2$