Answer:
[tex]\approx 209.44\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The area of a sector with radius [tex]r[/tex] and central angle [tex]\theta[/tex] is given by [tex]A{sec}=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Note that a sector is a part of a circle which is the area created by the windshield wiper.
We're given:
- [tex]r=20[/tex]
- [tex]\theta=60^{\circ}[/tex]
Substituting given values, we have:
[tex]A=20^2\pi\cdot \frac{60}{360},\\\\A=\frac{20^2\pi}{6},\\\\A=209.439510239\approx \boxed{209.44\:\mathrm{in^2}}[/tex] (round as necessary).
