Math, asked by olifarniya, 4 months ago

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.​

Answers

Answered by BlessedMess
21

Given,

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

Since there are two blades,

The total area of the sector made by wiper,

 = 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}   \:  \: {cm}^{2}

 =  \frac{158125}{126}  \:  \:  {cm}^{2}

 = 1254.96 \:  \:  {cm}^{2}

Answered by Anonymous
39

Given:-

Each wiper has a blade of length 25 cm sweeping through an angle of 115°.

To Find:-

The total area cleaned at each sweep of the blades.

Solution:-

⟹\textsf{Total area cleaned by 2 wipers = 2  x area cleaned} \\ ⟹\textsf{2 area of sector with 115°}\\ ⟹\textsf{ 2 x 360° = 2} θ \textsf{ x }\pi \textsf{r 2}\\ ⟹\textsf{2 x 360° 115° x 722 x 250} \\  \textsf{Therefore area cleaned by wipers  = } \frac{158125}{126} \:  \textsf{cm2 }  \\\textsf{= 1254.96}

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