Question

The diagram shows a bicycle. The radius of the front wheel of the bicycle is 30 cm. The length of arc of the rear wheel which is subtended by an angle of 45° is 13.75 cm. If the front wheel of the bicycle makes 42 complete rotations, find the number of complete rotations made by the rear wheel. Use $\pi = \frac{22}{7}$

          The diagram shows a bicycle.
The radius of the front wheel of the bicycle is
30 cm. The length of arc of the rear wheel
which is subtended by an angle of 45° is
13.75 cm. If the front wheel of the bicycle makes
42 complete rotations, find the number of complete
rotations made by the rear wheel.
Use $\pi = \frac{22}{7}$

The diagram shows a bicycle.
The radius of the front wheel of the bicycle is
30 cm. The length of arc of the rear wheel
which is subtended by an angle of 45° is
13.75 cm. If the front wheel of the bicycle makes
42 complete rotations, find the number of complete
rotations made by the rear wheel.
Use π = (22)/(7)

Added by -Scar B.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Kumareshwaran Rathinasabapathy

Step 1

The radius of the front wheel is given as 30 cm. This means that the circumference of the front wheel is 2 * π * 30 = 60π cm. Show more…

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The diagram shows a bicycle. The radius of the front wheel of the bicycle is 30 cm. The length of the arc of the rear wheel, which is subtended by an angle of 45Â°, is 13.75 cm. If the front wheel of the bicycle makes 42 complete rotations, find the number of complete rotations made by the rear wheel. Use T = 22.