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 \\(\pi\\).
c =? in.
9.42
18.84
20.46
28.26

Explanation:

Step1: Calculate trashball diameter

Trash can diameter = 12 in, trashball diameter = $\frac{1}{2} \times 12 = 6$ in

Step2: Calculate circumference

Circumference formula: $C = \pi d$. Substitute $\pi = 3.14$, $d = 6$: $C = 3.14 \times 6 = 18.84$? No, wait: Wait, trashball diameter is 6, so $C=3.14×6=18.84$? Wait no, wait the first part says trashball diameter is 1/2 of trash can's 12 in, so 6 in. Then circumference is πd=3.146=18.84? Wait but the options have 9.42. Wait no, wait: Wait, is the trashball's diameter 1/2 of the trash can's diameter? Trash can diameter 12, so 12(1/2)=6. Then circumference is π6=18.84. Oh, yes, 18.84 is an option. So the answers are 6 and 18.84.

Wait correction: Step2: $C = 3.14 × 6 = 18.84$ in. So the answers are 6 and 18.84.

Final Answer:
6 in
18.84 in

Step1: Find trashball diameter

$d = 12 × \frac{1}{2} = 6$ in

Step2: Compute circumference

$C = 3.14 × 6 = 18.84$ in

Answer:

6 in
9.42 in