Question

1. explain the relationship between the radius and the diameter.

Explanation:

In geometry, for a circle, the diameter is a straight line passing through the center and connecting two points on the circumference. The radius is a line segment from the center to a point on the circumference. The relationship is based on their definitions. If \(r\) represents the radius and \(d\) represents the diameter, then \(d = 2r\) (the diameter is twice the radius) and \(r=\frac{d}{2}\) (the radius is half of the diameter).

Answer:

The diameter \(d\) of a circle is twice the radius \(r\) (\(d = 2r\)), and the radius \(r\) is half of the diameter (\(r=\frac{d}{2}\)).