Question

A windshield wiper is 18 inches long and its blade is 12 inches long. It sweeps through an angle of 130 degrees. What is the total area wiped by the windshield wiper?

Answer 1

`A=65 inches^2`

Explanation:

From the question we are told that:

Length of wiper
`x=18`

Length of blade
`y=12`

Angle
`\theta=130\textdegree`

Generally the equation for Cover Area windshield wiper A_w is mathematically given by

`A_w=x^2*(\theta)/(360)`

`A_w=18^2*(130)/(360)`

`A_w=117 \textdegree`

Generally the equation for Cover Area windshield blade A_b is mathematically given by

`A_b=y^2*(\theta)/(360)`

`A_b=12^2*(130)/(360)`

`A_b=52 \textdegree`

Therefore total Area wiped by windshield wiper A

`A=A_w-A_b`

`A=65 inches^2`