Solve the problem.
-A wheel with a 20-inch radius is marked at two points on the rim. The distance between the marks along the wheel is found to be 4 inches. What is the angle (to the nearest tenth of a degree) between the radii to the two
Marks?
A) 7.5°
B) 11.5°
C) 13.5°
D) 9.5°

Question

Quizplus · Accepted Answer

The angle can be found using the arc length formula, $s = r\theta$, where $s$ is the arc length (4 inches), $r$ is the radius (20 inches), and $\theta$ is the angle in radians. Rearranging the formula to solve for $\theta$, we get $\theta = \frac{s}{r}$. Substituting the given values, $\theta = \frac{4}{20} = 0.2$ radians. To convert radians to degrees, we use the conversion factor $\frac{180}{\pi}$, so the angle in degrees is $0.2 \times \frac{180}{\pi} \approx 11.5°$.

Solve the Problem. -A Wheel with a 20-Inch Radius Is Marked at Two