Question
The circumference of a circle is 6.28 yards. What is the circle's diameter?
C=6.28 yd
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
yards
C=6.28 yd
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
yards
Answers
GPT-4o mini
The formula for the circumference \( C \) of a circle is given by:
\[
C = \pi \times d
\]
where \( d \) is the diameter of the circle. We can solve for \( d \) by rearranging the formula:
\[
d = \frac{C}{\pi}
\]
Given that the circumference \( C \) is 6.28 yards and using \( \pi \approx 3.14 \), we can substitute these values into the equation:
\[
d = \frac{6.28}{3.14}
\]
Now, performing the division:
\[
d \approx 2.0 \text{ yards}
\]
So, the diameter of the circle rounded to the nearest hundredth is:
\[
\boxed{2.00} \text{ yards}
\]
\[
C = \pi \times d
\]
where \( d \) is the diameter of the circle. We can solve for \( d \) by rearranging the formula:
\[
d = \frac{C}{\pi}
\]
Given that the circumference \( C \) is 6.28 yards and using \( \pi \approx 3.14 \), we can substitute these values into the equation:
\[
d = \frac{6.28}{3.14}
\]
Now, performing the division:
\[
d \approx 2.0 \text{ yards}
\]
So, the diameter of the circle rounded to the nearest hundredth is:
\[
\boxed{2.00} \text{ yards}
\]