In a circle, what is the relationship between the diameter and the radius?

Master the Praxis Mathematics (5165) Test. Enhance your skills with flashcards and practice questions, each with detailed explanations. Ace your exam confidently!

Multiple Choice

In a circle, what is the relationship between the diameter and the radius?

Explanation:
The distance across a circle through its center—the diameter—is twice the distance from the center to the circle—the radius. A radius goes from the center to any point on the circle, while a diameter is a straight line through the center with endpoints on the circle. Along the same line, two radii back-to-back make the full diameter, so if the radius is r, the diameter is r + r = 2r. Equivalently, the radius is half the diameter. For a quick check, if the radius is 5 units, the diameter is 10 units.

The distance across a circle through its center—the diameter—is twice the distance from the center to the circle—the radius. A radius goes from the center to any point on the circle, while a diameter is a straight line through the center with endpoints on the circle. Along the same line, two radii back-to-back make the full diameter, so if the radius is r, the diameter is r + r = 2r. Equivalently, the radius is half the diameter. For a quick check, if the radius is 5 units, the diameter is 10 units.

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