Question

here is a picture of a ferris wheel. it has a diameter of 80 meters.
a. on the picture, draw and label a diameter.
b. how far does a rider travel in one complete rotation around the ferris wheel?

Explanation:

Step1: Recall the formula for the circumference of a circle

The distance a rider travels in one complete rotation is the circumference of the Ferris - wheel. The formula for the circumference of a circle is \(C=\pi d\) (where \(d\) is the diameter).

Step2: Substitute the given diameter into the formula

Given \(d = 80\) meters. Substitute \(d=80\) into \(C=\pi d\). Using \(\pi\approx3.14\), we have \(C = 3.14\times80\).

Step3: Calculate the value

\(3.14\times80=(3 + 0.14)\times80=3\times80+0.14\times80=240+11.2 = 251.2\) meters.

Answer:

a. (This is a drawing task. On the Ferris - wheel picture, draw a straight line passing through the center of the wheel and connecting two points on the rim, and label it as "diameter".)
b. \(251.2\) meters.