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

GeometryCirclesDiameterRadiusGeometric Definitions
2025/4/27

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 dd is twice the length of the radius rr. This can be written as:
d=2rd = 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

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