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 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_ its height one - half of its height two times its height its height squared

Explanation:

Step1: Identify circle - related terms

The height of the circular wheel is the diameter ($d$) of the circle. Here $d = 63$ cm. The distance traveled by the wheel when it goes all the way around one - time is the circumference ($C$) of the circle, and $C=198$ cm.

Step2: Recall the formula for the circumference

The formula for the circumference of a circle is $C=\pi d$. We can solve for $\pi$ by rearranging the formula to $\pi=\frac{C}{d}$.

Step3: Calculate the value of $\pi$

Substitute $C = 198$ cm and $d = 63$ cm into the formula $\pi=\frac{C}{d}$, we get $\pi=\frac{198}{63}=\frac{22}{7}\approx3.14$.

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 its height.