A car has two wipers which do not overlap. Each wiper has a blade of l

1.	A car has two wipers which do not overlap. Each wiper has a blade of length 24 cm sweeping through an angle of 120º. Find the total area cleaned at each sweep of the blades.(a) 192 π cm2(b) 224 π cm2 (c) 384 π cm2 (d) 240 π cm2
Answer» Answer : (c) 384 π cm² Total area cleaned at each sweep of the blades = 2 × Area of sector cleaned by the sweep of one blade = 2 × \(\big[\) \(\frac{120}{360}\times \pi \times (24)^2 \big]\) \(\big[\because radius\,of\,sector\,=\,length\,of\,blade\big]\) = 384 π cm².

A car has two wipers which do not overlap. Each wiper has a blade of length 24 cm sweeping through an angle of 120º. Find the total area cleaned at each sweep of the blades.(a) 192 π cm2(b) 224 π cm2 (c) 384 π cm2 (d) 240 π cm2

Answer»

Answer : (c) 384 π cm²

Total area cleaned at each sweep of the blades

= 2 × Area of sector cleaned by the sweep of one blade

= 2 × \(\big[\) \(\frac{120}{360}\times \pi \times (24)^2 \big]\) \(\big[\because radius\,of\,sector\,=\,length\,of\,blade\big]\)

= 384 π cm².