Circle Geometry: Identifying the Radius in Visual Representations

Radius Identification with Visual Discrimination

Which figure shows the radius of a circle?

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Step-by-step written solution

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Understand the problem

Which figure shows the radius of a circle?

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Step-by-step solution

It is a straight line connecting the center of the circle to a point located on the circle itself.

Therefore, the diagram that fits the definition is c.

In diagram a, the line does not pass through the center, and in diagram b, it is a diameter.

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Final Answer

Key Points to Remember

Essential concepts to master this topic
  • Definition: Radius connects center to any point on the circle
  • Recognition: Line starts at center dot and ends on circumference
  • Verification: Check line starts at center and touches circle edge ✓

Common Mistakes

Avoid these frequent errors
  • Confusing radius with diameter or chord
    Don't assume any line in a circle is a radius = wrong identification! A diameter goes completely across through center, and a chord connects two points without touching center. Always verify the line starts at the center point and ends on the circle's edge.

Practice Quiz

Test your knowledge with interactive questions

There are only 4 radii in a circle.

FAQ

Everything you need to know about this question

How can I tell which line is the radius?

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Look for the center point (usually marked with a dot). The radius is the line that starts exactly at this center and goes to any point on the circle's edge.

What's the difference between radius and diameter?

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A radius goes from center to edge (half-way across), while a diameter goes completely across the circle through the center (full width).

Can a circle have more than one radius?

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Yes! Every circle has infinite possible radii - you can draw a line from the center to any point on the circle's edge. They're all the same length though!

Why isn't the line that doesn't go through center a radius?

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That's called a chord - it connects two points on the circle but doesn't involve the center. Only lines from center to edge qualify as radii.

Does the radius have to be vertical or horizontal?

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No! A radius can point in any direction from the center. It can be diagonal, slanted, or at any angle - as long as it connects center to circumference.

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