Solve the problem.
-A wheel with a 36-inch radius is marked at two points on the rim. The distance between the marks along the wheel is found to be 12 inches. What is the angle (to the nearest tenth of a degree)
Between the radii to the two marks?
A)17.1°
B)19.1°
C)21.1°
D)15.1°

Question

Quizplus · Accepted Answer

The angle can be found using the arc length formula, $s = r\theta$, where $s$ is the arc length (12 inches), $r$ is the radius (36 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, $\theta = \frac{12}{36} = \frac{1}{3}$ radians. To convert radians to degrees, we use the conversion factor $\frac{180}{\pi}$, so $\theta = \frac{1}{3} \times \frac{180}{\pi} \approx 19.1^\circ$.

Solve the Problem. -A Wheel with a 36-Inch Radius Is Marked at Two