https://file.aiquickdraw.com/mathbot/file/1726735163329plzbko9h.jpg

To find the radius \( r \) of the circle in the image, we can use the measurements provided.

The circle's center is 5 units from the left and 5 units from the bottom of the square. The total height of the square is 10 units, meaning the top of the circle is exactly at the top of the square, and the bottom of the circle is 5 units from the center. Thus, the radius \( r \) is half the height of the square, because the circle extends from the center to the top.

Therefore, the radius \( r \) is 5 units.

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### Related Questions:
1. What is the formula for calculating the area of a circle using its radius?
2. How would you calculate the circumference of a circle given its radius?
3. How does changing the radius affect the area and circumference of a circle?
4. What are the properties of a circle that are important in geometry?
5. How would you calculate the diameter of the circle based on the radius?

**Tip:** When working with circles, always remember that the diameter is twice the radius.

Learn how to find the radius of a circle using given measurements. In this example, a circle is placed inside a 10x10 unit square, with the center located 5 units from the bottom and left. The problem covers essential geometry concepts for Grades 6-8.

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