The area wiped by the viper blade is approximately 486.7 square inches.
The area wiped by the wiper blade ([tex]A[/tex]), in square inches, is equal to the area of the circular section described below:
[tex]A = \frac{\theta\cdot \pi}{360}\cdot (R^{2}-r^{2})[/tex] (1)
Where:
- [tex]\theta[/tex] - Angle, in sexagesimal degrees.
- [tex]r[/tex] - Inner radius, in inches.
- [tex]R[/tex] - Outer radius, in inches.
If we know that [tex]\theta = 130^{\circ}[/tex], [tex]R = 25\,in[/tex] and [tex]r = 14\,in[/tex], then the area wiped by the wiper blade is:
[tex]A = \frac{130\pi}{360} \cdot [(25\,in)^{2}-(14\,in)^{2}][/tex]
[tex]A \approx 486.7\,in^{2}[/tex]
The area wiped by the viper blade is approximately 486.7 square inches.
We kindly invite to check this question on circular sections: https://brainly.com/question/14989543
