Answer:
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[tex]=\pi d[/tex]
Therefore, Circumference of the Unicycle's wheel [tex]=12\pi[/tex] inches
Since the distance traveled in one revolution=[tex]12\pi[/tex] inches
Distance traveled in 6 revolutions=6 X [tex]12\pi[/tex] inches
=226.19 inches (to the nearest hundredth of an inch.)
Answer:
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 = [tex]\frac{D}{2}[/tex]
= [tex]\frac{12}{2}[/tex]
= 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 = 2[tex]\pi[/tex]r
Thus,
the circumference of the wheel = 2 × [tex]\frac{22}{7}[/tex] × 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.
