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.
**Make sure you use the circumference formula on the state test reference sheet.
*
1 point
36
354.95
15
18
Use 3.14 for 𝜋. If necessary, round your answer to the nearest hundredth.
**Make sure you use the circumference formula on the state test reference sheet.
*
1 point
36
354.95
15
18
Answers
GPT-4o mini
To find the radius of the snare drum, we can use the formula for the circumference of a circle, which is given by:
\[ C = 2\pi r \]
where \( C \) is the circumference and \( r \) is the radius. We can rearrange this formula to solve for the radius:
\[ r = \frac{C}{2\pi} \]
Now, substituting the given values:
- Circumference \( C = 113.04 \) cm
- Using \( \pi \approx 3.14 \)
Calculating the radius:
\[ r = \frac{113.04}{2 \times 3.14} \]
Calculating the denominator:
\[ 2 \times 3.14 = 6.28 \]
Now, substituting this back into the formula for \( r \):
\[ r = \frac{113.04}{6.28} \]
Calculating the division:
\[ r \approx 18.01 \]
Rounding to the nearest hundredth:
\[ r \approx 18.00 \]
So, the closest answer to the options provided is:
**18**
\[ C = 2\pi r \]
where \( C \) is the circumference and \( r \) is the radius. We can rearrange this formula to solve for the radius:
\[ r = \frac{C}{2\pi} \]
Now, substituting the given values:
- Circumference \( C = 113.04 \) cm
- Using \( \pi \approx 3.14 \)
Calculating the radius:
\[ r = \frac{113.04}{2 \times 3.14} \]
Calculating the denominator:
\[ 2 \times 3.14 = 6.28 \]
Now, substituting this back into the formula for \( r \):
\[ r = \frac{113.04}{6.28} \]
Calculating the division:
\[ r \approx 18.01 \]
Rounding to the nearest hundredth:
\[ r \approx 18.00 \]
So, the closest answer to the options provided is:
**18**