The problem asks whether the statement "The length of a diameter is twice the length of a radius" is true or false.

1. Problem Description

The problem asks whether the statement "The length of a diameter is twice the length of a radius" is true or false.

2. Solution Steps

The diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circle. The radius of a circle is a line segment from the center of the circle to any point on the circle.

The diameter is composed of two radii. Therefore, the length of the diameter $d$ is twice the length of the radius $r$. This can be written as:

$d = 2r$

The given statement, "The length of a diameter is twice the length of a radius," is true based on the relationship between the diameter and the radius of a circle.

3. Final Answer

True