A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle travel in 6 revolutions? Round your answer to the nearest hundredth of an inch.

226.19 inches

Step-by-step explanation:

Diameter of the unicycle's wheel=12 inches

The distance traveled by the unicycle in one revolution is the circumference of the wheel.

For a circle of diameter d,

Circumference

Therefore, Circumference of the Unicycle's wheel inches

Since the distance traveled in one revolution= inches

Distance traveled in 6 revolutions=6 X inches

=226.19 inches (to the nearest hundredth of an inch.)

The unicycle would travel 226.29 inches in 6 revolutions.

Step-by-step explanation:

A unicycle wheel is a one wheeled device, unlike the bicycle which has two wheels.

The given unicycle has a diameter, D, of 12 inches. It's radius, r, can be determined by;

         r =

           =

           = 6

∴        r = 6 inches.

A revolution is a complete movement of a point forming a circle, or the movement of a point along the circumference of a circle.

Circumference of a circle = 2r

Thus,

the circumference of the wheel = 2 × × 6

                                                    = 37.7143

The circumference of the wheel is 37.7143 inches.

Therefore, for 6 revolutions the unicycle would travel:

              6 × 37.7143

             = 226.2857

The unicycle would travel 226.29 inches in 6 revolutions.

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