Answer:
![\begin{gathered} C=2\pi r \\ r=(d)/(2) \\ d=2r \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/qv8rdts3i3uv0bmennxi2pu1qqszm8xu4q.png)
Explanations:
The circumference is simply defined as the perimeter of a circle
Based on the given question, we are to find the formula for calculating the circumference of a circle, radius, and diameter
For circle:
The formula for calculating the circumference is expressed as:
![C=2\pi r\text{ or }\pi d](https://img.qammunity.org/2023/formulas/mathematics/college/xf6svz00s0xtenpwc0wetjmr3mqnbgtuvj.png)
where:
r is the radius of the circle
d is the diameter of the circle
For radius
The radius is the distance from the center of a circle to any point on the circumference. The radius can be expressed as a function of the diameter as shown:
![r=(d)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/lbj8f6aiw49vzkvm3ph9oaipc5fcjll3n9.png)
d is the diameter of the circle
For the diameter of a circle
The diameter of the circle is the line that divides a circle into two equal parts. This can also be written as a function of the radius.
![d=2r](https://img.qammunity.org/2023/formulas/mathematics/high-school/fgrklsm7cb6mxo4f71at1qepajwthu24q5.png)