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 sawyer’s “trashball” be? d = 6 in. what should the circumference of the “trashball” be? use 3.14 for π. c = ? in. (image of a trash can with 12 in. marked on top and a balled-up paper being thrown)

Explanation:

Step1: Recall the formula for circumference

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

Step2: Identify the diameter of the trashball

From the first part, we know the diameter of the trash can is 12 in, and the diameter of the trashball \( d \) 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 \( C = 3.14\times6 \).
Calculate \( 3.14\times6=18.84 \).

Answer:

\( 18.84 \)