# 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.

Here $$r \ = \ 25$$ cm, $$\theta \ = \ 115º$$

Total area cleaned at each sweep of the blades

$$= \ 2 \ ×$$ Area of the sector
(having $$r \ = \ 25$$ and $$\theta \ = \ 115º$$ )

$$= \ 2 \ × \ \frac{ \theta }{360} \ × \ \pi r^2$$

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

$$= \ \frac{23 \ × \ 11 \ × \ 625}{18 \ × \ 7} \ = \ \frac{158125}{126}$$ cm2