Identify the Radius: Circle Geometry Visual Recognition Task

Circle Elements with Visual Recognition

Identify which diagram shows the radius of a circle:

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Step-by-step written solution

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Understand the problem

Identify which diagram shows the radius of a circle:

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Step-by-step solution

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

In drawing C we can see that the line coming from the center of the circle indeed connects to a point on the circle itself, while in the other drawings the lines don't touch any point on the circle.

Therefore, C is the correct drawing.

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Final Answer

Key Points to Remember

Essential concepts to master this topic
  • Definition: A radius connects the circle's center to any point on the circle
  • Identification: Look for lines starting at center and ending exactly on the circle
  • Verification: Check both endpoints - one at center, one on circumference ✓

Common Mistakes

Avoid these frequent errors
  • Confusing radius with chord or diameter
    Don't identify any line inside a circle as a radius = wrong classification! A radius must start specifically at the center point. Always verify the line begins at the exact center and ends on the circle's edge.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

How can I tell which point is the center of the circle?

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The center is the exact middle point of the circle. It's equidistant from all points on the circle's edge. Look for a small dot or point that appears to be in the very center of the circular shape.

What's the difference between a radius and a diameter?

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A radius goes from the center to the edge, while a diameter goes all the way across the circle through the center. The diameter is always twice as long as the radius!

Can a circle have more than one radius?

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Yes! A circle has infinitely many radii. Every line segment from the center to any point on the circle is a radius, and they're all the same length.

What if the line goes past the circle's edge?

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If a line extends beyond the circle, it's not a radius. A radius must end exactly where it touches the circle's circumference - no further!

Why do some diagrams show the center point and others don't?

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Some diagrams mark the center with a visible dot to make it clear, while others expect you to identify the center visually. Look for the point that appears equidistant from all edges.

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