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a windshield wiper blade is 17 in Long. Calculate the area come by the blade as it rotates through an angle of 138 degrees.​

User GramThanos
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1 Answer

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Answer: 348 in²

Explanation:

Area of a circle is πr². Area of a sector is the same formula but only for the section so you need to determine what fraction of the circle it is. You do this by dividing by 360° if degrees are provided or by 2π if radians are given.


A=\pi r^2 \bigg((\theta)/(360^o)\bigg)

Given: r = 17

Ф = 138°


A=\pi(17)^2\bigg((138^o)/(360^o)\bigg)\\\\\\.\quad =289\pi \bigg((23)/(60)\bigg)\\\\\\.\quad =(6647\pi)/(60)\pi\\\\\\.\quad =347.9\ in^2

User Almustafa Azhari
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