Answer:
226.19 inches in 6 revolutions.
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.)
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 evolutions the unicycle would travel:
6 × 37.7143
= 226.2857
The unicycle would travel 226.29 inches in 6 revolutions
