Solve the problem.
-Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel to rotate. The radius of the smaller wheel is $9.2$ centimeters and the radius of the larger wheel is $13.1$ centimeters. Through how many degrees will the larger wheel rotate if the smaller one rotates $211 ^ { \circ }$ ?
A) $148.08 ^ { \circ }$
B) $149.18 ^ { \circ }$
C) $150.18 ^ { \circ }$
D) $148.18 ^ { \circ }$

Question

Quizplus · Accepted Answer

The rotation angle of the larger wheel can be found by using the ratio of the radii of the two wheels and the rotation angle of the smaller wheel. The formula is: $\text{Angle of larger wheel} = \text{Angle of smaller wheel} \times \frac{\text{Radius of smaller wheel}}{\text{Radius of larger wheel}}$. Plugging in the values gives: $211^\circ \times \frac{9.2}{13.1} = 148.18^\circ$.

Solve the Problem 9.29.29.2 Centimeters and the Radius of the Larger Wheel Is

Solve the Problem $9.2$ Centimeters and the Radius of the Larger Wheel Is