The diameter of a circle is a segment that connects two points on the circle and passes through the center of it.
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The diameter of a circle is a segment that connects two points on the circle and passes through the center of it.
To solve this problem, we first review the standard definition of a circle's diameter. By definition, a diameter of a circle is a straight line segment that passes through the center of the circle and has its endpoints on the circle itself.
Let's compare this with the given statement:
- The statement says the diameter connects two points on the circle. This aligns with the standard definition.
- The statement says the diameter passes through the center of the circle. This also aligns with the standard definition.
Therefore, the statement correctly describes the properties of a diameter.
Consequently, the statement is True.
True
There are only 4 radii in a circle.
A chord is any line segment connecting two points on a circle, but a diameter is a special chord that must pass through the center. All diameters are chords, but not all chords are diameters!
A radius goes from the center to one point on the circle, while a diameter goes from one side of the circle to the other, passing through the center. The diameter is always twice as long as the radius.
Yes! A circle has infinitely many diameters. Every diameter has the same length, but you can draw them in any direction through the center.
No! A diameter can be drawn in any direction as long as it passes through the center and has both endpoints on the circle. It can be tilted, diagonal, or at any angle.
Then it's not a diameter! A diameter must have both endpoints exactly on the circle. If the segment extends beyond the circle or stops short, it doesn't qualify as a diameter.
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