1. **Problem statement:** Draw a circle and explain how to find its radius.
2. **What a radius is:** The radius is the distance from the center of a circle to any point on the circle.
3. **Formula to use:** If you know the diameter, then
$$r=\frac{d}{2}$$
If you know the circumference, then
$$r=\frac{C}{2\pi}$$
If you know the area, then
$$r=\sqrt{\frac{A}{\pi}}$$
4. **Important rule:** All radii in the same circle are equal because every point on the circle is the same distance from the center.
5. **How to find the radius in a picture:**
- Find the center of the circle.
- Measure from the center to the edge.
- That distance is the radius.
6. **Example with diameter:** If the diameter is $10$, then
$$r=\frac{10}{2}=5$$
So the radius is $5$.
7. **Example with circumference:** If the circumference is $18.84$, then
$$r=\frac{18.84}{2\pi}$$
$$r\approx\frac{18.84}{6.28}=3$$
So the radius is about $3$.
8. **Final answer:** The radius is the distance from the center to the circle, and you can find it using $r=\frac{d}{2}$, $r=\frac{C}{2\pi}$, or $r=\sqrt{\frac{A}{\pi}}$ depending on what information you have.
Circle Radius 082F09
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