The area of a circle is the amount of space inside the circle, while the circumference is the distance around the circle. To find the area, you use the formula $A = \pi r^2$, where $r$ is the radius of the circle and $\pi$ (pi) is approximately 3.14. To find the circumference, you use the formula $C = 2 \pi r$ or $C = \pi d$, where $d$ is the diameter of the circle.
Understanding the relationship between radius, diameter, area, and circumference is key to solving circle-related problems. Let's practice!
Match the term with its definition:
| Term | Definition |
|---|---|
| 1. Radius | A. The distance around the circle |
| 2. Diameter | B. The ratio of a circle's circumference to its diameter |
| 3. Circumference | C. The distance from the center of the circle to any point on the circle |
| 4. Area | D. The distance across the circle through the center |
| 5. Pi ($ \pi $) | E. The amount of space inside the circle |
Complete the following paragraph with the correct terms:
The ________ of a circle is the distance from the center to any point on the circle. The ________ is twice the radius. To find the ________, you can use the formula $C = 2 \pi r$. The area of a circle is found using the formula $A = \pi r^2$, where $ \pi $ is approximately ________. Understanding these concepts helps in solving various circle-related ________.
Explain how changing the radius of a circle affects its area and circumference. Provide an example to illustrate your explanation.
Please log in to post your answer.
Log InEarn 2 Points for answering. If your answer is selected as the best, you'll get +20 Points! 🚀