Question
Calculate the value using the formula for the circumference of a circle. Use
π
=
3.14
π=3.14 and round to the nearest hundredth.
The circumference of a circle is
112.8
112.8 millimeters. Calculate the diameter of the circle.
d
=
d=
mm
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.
Given that the circumference \( C = 112.8 \) mm and \( \pi = 3.14 \), we can rearrange the formula to solve for the diameter \( d \):
\[
d = \frac{C}{\pi}
\]
Substituting the values:
\[
d = \frac{112.8}{3.14}
\]
Now, performing the calculation:
\[
d = 35.89 \quad \text{(approximately)}
\]
Thus, rounding to the nearest hundredth, the diameter of the circle is:
\[
d = 35.89 \, \text{mm}
\]
\[
C = \pi \times d
\]
where \( d \) is the diameter of the circle.
Given that the circumference \( C = 112.8 \) mm and \( \pi = 3.14 \), we can rearrange the formula to solve for the diameter \( d \):
\[
d = \frac{C}{\pi}
\]
Substituting the values:
\[
d = \frac{112.8}{3.14}
\]
Now, performing the calculation:
\[
d = 35.89 \quad \text{(approximately)}
\]
Thus, rounding to the nearest hundredth, the diameter of the circle is:
\[
d = 35.89 \, \text{mm}
\]