A car’s rear windshield wiper rotates 125^(circ) The total length of the wiper mechanism is 25 inches and wipes the windshield over a distance of 14 inches. Find the area covered by the wiper.

Question
Circles
asked 2021-02-18
A car’s rear windshield wiper rotates \(125^(circ)\) The total length of the wiper mechanism is 25 inches and wipes the windshield over a distance of 14 inches. Find the area covered by the wiper.

Answers (1)

2021-02-19
Given:
\(theta=125^(circ)\)
\(r_1=25\) inches
\(r_2=14\) inches
\(r=r_1-r_2=25-14=11\) inches
\(theta=125^(circ)*(pi)/180^(circ) approx 2.1817\) radians
\(1/2 r^2theta=1/2*11^2*2.1817=131.993\)
\(1/2 r^(2/1theta)=1/2*25^2*2.1817=681.781\)
681.781-131.993=549.788
0

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