Question

A car's rear windshield wiper rotates 130°. The total length of the wiper mechanism is 25 inches and the length of the wiper blade is 14 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)

Answer 1

The area wiped by the viper blade is approximately 486.7 square inches.

The area wiped by the wiper blade ($A$), in square inches, is equal to the area of the circular section described below:

$A = \frac{\theta\cdot \pi}{360}\cdot (R^{2}-r^{2})$ (1)

Where:

• $\theta$ - Angle, in sexagesimal degrees.
• $r$ - Inner radius, in inches.
• $R$ - Outer radius, in inches.

If we know that $\theta = 130^{\circ}$, $R = 25\,in$ and $r = 14\,in$, then the area wiped by the wiper blade is:

$A = \frac{130\pi}{360} \cdot [(25\,in)^{2}-(14\,in)^{2}]$

$A \approx 486.7\,in^{2}$

The area wiped by the viper blade is approximately 486.7 square inches.

We kindly invite to check this question on circular sections: brainly.com/question/14989543