Circle Geometry: Identifying the Radius Among Given Segments

Identify which diagram shows the radius of a circle:

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1

Understand the problem

Identify which diagram shows the radius of a circle:

2

Step-by-step solution

Remember that a radius is a line segment connecting the center of the circle to a point that lies on the circle itself.

In drawing A, the line doesn't touch any point on the circle itself.

In drawing B, the line doesn't pass through the center of the circle.

We can see that in drawing C, the line that extends from the center of the circle is indeed connected to a point on the circle itself.

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Final Answer

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Where does a point need to be so that its distance from the center of the circle is the shortest?

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