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?
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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 choose... of the circle. to estimate the value of π, choose... the distance traveled by the wheel when it goes all the way around by choose... .

Explanation:

Step1: Recall the formula for the circumference of a circle

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

Step2: Identify the given values

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

Step3: Rearrange the formula to solve for \(\pi\)

From \(C = \pi d\), we can solve for \(\pi\) by \(\pi=\frac{C}{d}\)

Answer:

Because the wheel is circular, the height of the wheel is the diameter of the circle. The distance traveled by the wheel when it goes all the way around one time is the circumference of the circle. To estimate the value of \(\pi\), divide the distance traveled by the wheel when it goes all the way around by the height of the wheel (diameter).