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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.

11. 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.

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The area cleaned by one wiper is:- 

                                                   Area\ =\ \frac{\Theta}{360^{\circ}}\ \times \pi r^2

or                                                             =\ \frac{115^{\circ}}{360^{\circ}}\ \times \pi \times 25^2

or                                                            =\ \frac{158125}{252}\ cm^2

Hence the required area (area cleaned by both blades) is given by:- 

                                                              =\ 2\times \frac{158125}{252}\ =\ \frac{158125}{126}\ cm^2

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