Question

sawyer is grounded and has to stay in his room all day. he made up a game where he throws balled-up paper called a \trashball\ into his trash can. the diameter of the top of the trash can is 12 in. sawyer wants the \trashball\ to have a diameter that is $\frac{1}{2}$ the diameter of the top of the trash can. what should the diameter of sawyers \trashball\ be? $d = 6$ in. what should the circumference of the \trashball\ be? use 3.14 for $pi$. $c =?$ in. options: 9.42, 18.84, 20.46, 28.26 (image: trash can with 12 in. diameter and a trashball above it)

Explanation:

Step1: Recall the circumference formula

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

Step2: Identify the diameter of the trashball

From the first part, the diameter of the trash can is 12 in, and the trashball's diameter is \( \frac{1}{2}\times12 = 6 \) in.

Step3: Calculate the circumference

Substitute \( \pi = 3.14 \) and \( d = 6 \) into the formula \( C=\pi d \). So \( C = 3.14\times6 \).
\( 3.14\times6=18.84 \)

Answer:

18.84