Question
The circumference of a circle is 12.56 yards. What is the circle's diameter?
C=12.56 yd
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
C=12.56 yd
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answered by
GPT-4o mini
The formula for the circumference \( C \) of a circle is given by:
\[
C = \pi \times d
\]
where \( d \) is the diameter. To find the diameter, we can rearrange the formula:
\[
d = \frac{C}{\pi}
\]
Given \( C = 12.56 \) yards and using \( \pi \approx 3.14 \):
\[
d = \frac{12.56}{3.14}
\]
Now perform the calculation:
\[
d \approx \frac{12.56}{3.14} \approx 4.0 \text{ yards}
\]
Rounding to the nearest hundredth, the diameter of the circle is:
\[
\boxed{4.00} \text{ yards}
\]
\[
C = \pi \times d
\]
where \( d \) is the diameter. To find the diameter, we can rearrange the formula:
\[
d = \frac{C}{\pi}
\]
Given \( C = 12.56 \) yards and using \( \pi \approx 3.14 \):
\[
d = \frac{12.56}{3.14}
\]
Now perform the calculation:
\[
d \approx \frac{12.56}{3.14} \approx 4.0 \text{ yards}
\]
Rounding to the nearest hundredth, the diameter of the circle is:
\[
\boxed{4.00} \text{ yards}
\]