Question
43. A glass vase has a circular rim with a diameter of 5 in. How many inches of ribbon are needed to go once around the rim? Use 3.14 for \( \pi \).
Ask by Olson Barker. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
15.7 inches of ribbon are needed.
Solution
We use the formula for the circumference of a circle:
\[
C = \pi d
\]
Substitute the given diameter \( d = 5 \) inches and \( \pi = 3.14 \):
\[
C = 3.14 \times 5
\]
\[
C = 15.7 \text{ inches}
\]
Thus, \(15.7\) inches of ribbon are needed.
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Simplify this solution The Deep Dive
To find the length of ribbon needed to go once around the rim of the vase, we’ll calculate the circumference of the circle. The formula for circumference is \( C = \pi \times d \), where \( d \) is the diameter. Here, the diameter is 5 inches. So, using \( \pi \) as 3.14: \( C = 3.14 \times 5 = 15.7 \) inches. Therefore, you will need 15.7 inches of ribbon to go around the rim of the vase!
