Question
Elizabeth plays a snare drum. After measuring it, she calculates that it has a circumference of 113.04 centimeters. What is the drum's radius?
Use 3.14 for 𝜋. If necessary, round your answer to the nearest hundredth.
Use 3.14 for 𝜋. If necessary, round your answer to the nearest hundredth.
Answers
GPT-4o mini
To find the radius of the drum from its circumference, we can use the formula for the circumference of a circle, which is:
\[
C = 2\pi r
\]
where \( C \) is the circumference and \( r \) is the radius. We need to solve for \( r \):
\[
r = \frac{C}{2\pi}
\]
Given that the circumference \( C = 113.04 \) cm and using \( \pi \approx 3.14 \), we can substitute into the formula:
\[
r = \frac{113.04}{2 \times 3.14}
\]
Calculating the denominator:
\[
2 \times 3.14 = 6.28
\]
Now, substitute this value back into the equation for \( r \):
\[
r = \frac{113.04}{6.28}
\]
Next, we perform the division:
\[
r \approx 18.00
\]
Thus, the radius of the drum is approximately \( 18.00 \) centimeters when rounded to the nearest hundredth.
\[
C = 2\pi r
\]
where \( C \) is the circumference and \( r \) is the radius. We need to solve for \( r \):
\[
r = \frac{C}{2\pi}
\]
Given that the circumference \( C = 113.04 \) cm and using \( \pi \approx 3.14 \), we can substitute into the formula:
\[
r = \frac{113.04}{2 \times 3.14}
\]
Calculating the denominator:
\[
2 \times 3.14 = 6.28
\]
Now, substitute this value back into the equation for \( r \):
\[
r = \frac{113.04}{6.28}
\]
Next, we perform the division:
\[
r \approx 18.00
\]
Thus, the radius of the drum is approximately \( 18.00 \) centimeters when rounded to the nearest hundredth.