Solve the problem.
-If you roll a 1 -m-diameter wheel forward 34 centimeters over level ground, through what angle (to the nearest degree) will the wheel turn?
A) $1 ^ { \circ }$
B) $19 ^ { \circ }$
C) $68 ^ { \circ }$
D) $39 ^ { \circ }$

Question

Quizplus · Accepted Answer

To find the angle through which the wheel turns, we first calculate the circumference of the wheel using the formula $ C = \pi \times d $, where $ d = 1 $ meter or 100 cm. So, $ C = \pi \times 100 \approx 314.16 $ cm. The wheel rolls 34 cm, so the fraction of the circumference it rolls is $ \frac{34}{314.16} $. The angle in degrees is then $ \frac{34}{314.16} \times 360 \approx 39 ^{\circ} $.

Solve the Problem 1∘1 ^ { \circ }1∘ B) 19∘19 ^ { \circ }19∘

Solve the Problem $1 ^ { \circ }$ B) $19 ^ { \circ }$