To help you fill in the table with the appropriate values for the radius, diameter, area, and circumference of circles, I'll provide you with the necessary formulas and relationships:
- Radius (r): This is the distance from the center of the circle to any point on its circumference.
- Diameter (d): This is twice the radius. \(d = 2r\).
- Circumference (C): The distance around the circle. The formula is \(C = 2\pi r\) or \(C = \pi d\).
- Area (A): The space enclosed by the circle. The formula is \(A = \pi r^2\).
With these formulas, you can find the values for each circle:
- If you have a radius, you can find the diameter by multiplying by 2, the circumference using \(C = 2\pi r\), and the area using \(A = \pi r^2\).
- If you have a diameter, divide it by 2 to find the radius, and use the diameter in the circumference formula as \(C = \pi d\) and the area formula.
- If you have the circumference, you can find the radius by rearranging the circumference formula to \(r = \frac{C}{2\pi}\) and then calculate diameter and area.
- If you have the area, you can find the radius using \(r = \sqrt{\frac{A}{\pi}}\) and calculate the diameter and circumference.
Please provide me with specific values for the radii, diameters, areas, and circumferences you want to fill into your table, and I can assist you in completing it correctly.