The circumference of a circle is the distance around it. Think of it as the perimeter, but for a circle! We can calculate the circumference using two simple formulas, both involving a special number called pi ($\pi$), which is approximately 3.14159.
If you know the circle's diameter (the distance across the circle through the center), you can use the formula: $C = \pi d$. If you know the circle's radius (the distance from the center to any point on the circle), you can use the formula: $C = 2\pi r$. Remember to choose the right formula based on the information you're given!
Match the following terms with their definitions:
| Term | Definition |
|---|---|
| 1. Radius | A. The distance around a circle. |
| 2. Diameter | B. The ratio of a circle's circumference to its diameter. |
| 3. Circumference | C. The distance from the center of a circle to any point on its edge. |
| 4. Pi ($\pi$) | D. A line segment passing through the center of the circle connecting two points on the circle. |
| 5. Circle | E. A round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center). |
Complete the following paragraph with the correct words.
The ________ of a circle is the distance around it. It can be found using the formula $C = \pi d$, where $d$ stands for the ________. Another way to calculate it is using the ________ which is the distance from the center of the circle to the edge. In that case, the formula is $C = 2\pi r$. The value of \$\pi\$ is approximately ________.
Imagine you are designing a circular garden. You want to put a fence around it. What measurements do you need to take, and how would you use them to determine the length of the fence you need to buy?
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