Circle Geometry: Verify that Diameter = 2 × Radius

The diameter of a circle is twice as long as its radius.

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1

Understand the problem

The diameter of a circle is twice as long as its radius.

2

Step-by-step solution

The diameter of a circle is defined as the distance across the circle through its center. It is directly related to the radius, which is the distance from the center to a point on the circumference of the circle.

By the standard definition in geometry, the diameter (d d ) of a circle is expressed in terms of its radius (r r ) as:

d=2r d = 2r

This equation clearly states that the diameter is twice the length of the radius. Hence, the statement, “The diameter of a circle is twice as long as its radius,” aligns with this fundamental geometric property.

Therefore, the statement is True.

3

Final Answer

True

Practice Quiz

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M is the center of the circle.

Perhaps \( MF=MC \)

MMMAAABBBCCCDDDEEEFFFGGGHHH

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