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Svetllana [295]
2 years ago
14

The left windshield wiper on a Chevrolet Traverse cleans an area of 500.3in ^2.when in motion it has a cleaning pattern that arc

s 98 degree . What is the length of the windshield wiper? Approximate the length to the nearest inch.
Mathematics
1 answer:
Mamont248 [21]2 years ago
8 0

The length of the windshield wiper to the nearest inch is 24 inches

<h3>How to calculate the area of a sector</h3>

The formula for calculating the area of a sector is given as:

A = r²β/2

r is the length of the wiper

β is the subtended angle

Given the following

A = 500.3 square in

β = 98 degrees = 98pi/180 = 49pi/90

Substitute

500.3 =  r²49pi/180
500.3 = 153.86r²/180

153.86r² = 90054
r² = 585.298

r = 24.19

Hence the length of the windshield wiper to the nearest inch is 24 inches

learn more on sector here: brainly.com/question/22972014

#SPJ1

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