The circumference of a circle is the distance around it. Think of it as the perimeter, but for circles! To find the circumference, you'll need to know the circle's diameter (the distance across the circle through the center) or radius (the distance from the center to any point on the circle). The formula for circumference is $C = \pi d$ or $C = 2\pi r$, where $\pi$ (pi) is approximately 3.14.
Let's put your skills to the test! This worksheet will help you practice calculating the circumference of different circles and using your knowledge to solve problems.
Match the following terms with their definitions:
| Term | Definition |
|---|---|
| 1. Circumference | a. The distance from the center of a circle to any point on its edge. |
| 2. Diameter | b. A line segment passing through the center of the circle connecting two points on the circle. |
| 3. Radius | c. The ratio of a circle's circumference to its diameter (approximately 3.14). |
| 4. Pi ($\pi$) | d. The distance around a circle. |
| 5. Circle | e. A round plane figure whose boundary (the circumference) consists of points equidistant from the center. |
Answers: 1-d, 2-b, 3-a, 4-c, 5-e
Complete the following sentences using the words provided: radius, diameter, circumference, pi, circle.
Answers: 1. circle, circumference; 2. radius; 3. diameter; 4. pi
Imagine you are designing a circular garden. The garden has a diameter of 10 meters. You want to put a fence around the entire garden. How many meters of fencing will you need? Show your work.
Answer:
To find the amount of fencing needed, you need to calculate the circumference of the garden. Using the formula $C = \pi d$, where $d = 10$ meters and $\pi \approx 3.14$, you get:
$C = 3.14 \times 10 = 31.4$ meters.
Therefore, you will need 31.4 meters of fencing.
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