Question

a bicycle wheel is 63 centimeters from top to bottom. when the wheel goes all the way around one time, the bicycle travels 198 centimeters. how can this information be used to estimate the value of π? click the arrows to choose an answer from each menu. because the wheel is circular, the height of the wheel is the choose... of the circle. the distance traveled by the wheel when it goes all the way around one time is the

Explanation:

Step1: Identify relevant circle - properties

The height of the circular wheel from top - to - bottom is the diameter \(d\) of the circle. Here \(d = 63\) cm. The distance the wheel travels in one full rotation is the circumference \(C\) of the circle. Here \(C=198\) cm.

Step2: Recall the formula for the circumference of a circle

The formula for the circumference of a circle is \(C=\pi d\).

Step3: Solve for \(\pi\)

We can re - arrange the formula \(C = \pi d\) to find \(\pi=\frac{C}{d}\). Substitute \(C = 198\) cm and \(d = 63\) cm into the formula. So \(\pi=\frac{198}{63}=\frac{22}{7}\approx3.14\).

Answer:

Since the height of the wheel is the diameter of the circle and the distance traveled in one full - rotation is the circumference, we use the formula \(\pi=\frac{C}{d}\), where \(C = 198\) cm and \(d = 63\) cm to estimate \(\pi\approx3.14\).