Question

a wheel has a diameter of 13 in. what is the circumference? round your answer to the nearest tenth. (use π = 3.14)
circumference =
the minute hand of a clock is 22 in long. find the distance traveled by the tip of the minute hand in one - hour. round your answer to the nearest tenth. (use π = 3.14)

Explanation:

Step1: Recall circumference formula

The formula for the circumference of a circle is $C=\pi d$, where $d$ is the diameter.

Step2: Substitute given diameter

Given $d = 13$ in and $\pi=3.14$, we have $C = 3.14\times13$.

Step3: Calculate the value

$C=40.82$ in. Rounding to the nearest tenth, $C\approx40.8$ in.

For the second - part about the minute - hand of a clock:

Step1: Recall arc - length formula

The minute - hand of a clock makes a full circle in 60 minutes. The length of the minute - hand is the radius $r = 22$ in. The formula for the circumference of a circle is $C = 2\pi r$.

Step2: Calculate the circumference

Substitute $r = 22$ in and $\pi = 3.14$ into the formula, $C=2\times3.14\times22$.

Step3: Calculate the value

$C = 138.16$ in. In one hour, the minute - hand travels the full circumference. Rounding to the nearest tenth, $C\approx138.2$ in.

Answer:

Circumference of circle with diameter 13 in: 40.8 in
Distance traveled by minute - hand of 22 - in clock in one hour: 138.2 in