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Q: Is this statement true or false All diameters pass through the center of a circle.?

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A diameter is a cord in a circle containing the center of the circle. But some circles are sections of spheres. Not all diameters are diameters of spheres.

A diameter is a segment that passes through the center of a circle and has both endpoints on the circle.

That means that a given circle doesn't have two or three diameters. For a given circle, there is a unique measurement, called its "diameter". It is the distance from one end to the other, passing through the center. Since the circle is defined as all the points that are at the same distance from a point (the center), all radii are the same distance; and the diameter is simply twice the radius.

False. The statement was fine until it reached the last requirement. Chords both pass through the center of the circle are diameters. If two of them shared one end point, they would also share the other end point. They would be the same diameter, and the angle between them would be zero.

Neither secant nor tangent pass through the center of a circle. A secant passes through one point on the circle and the tangent passes through two points on a circle.

Related questions

yes.

Yes a diameter will ALWAYS pass through the center

Any chord that goes through the center of the circle is a diameter.You can draw an infinite number of diameters in any circle.In one circle, all of the diameters have the same length.

Yes. In geometry, a diameter of a Circleis any straight Line_segmentthat passes through the center of the circle and whose endpoints are on the circle.

This question does not make sense. All chords are not, in fact, diameters. Actually, only chords that pass through the center of a circle are diameters.

A diameter is a cord in a circle containing the center of the circle. But some circles are sections of spheres. Not all diameters are diameters of spheres.

The only chords that are diameters are the chords that go through the center of the circle. All of the other chords are shorter.

If you are referring to the segment passing through the center of the circle and touching the circumference of the circle then it's the diameter of the circle.There can be infinite diameters drawn inside a circle.

There are infinite diameters within a circle.

A chord is any line segment going from one side of the circle to another. A diameter is a special chord - it is a chord that goes through the center of the circle. It is also the biggest chord possible in the circle. So all diameters are chords, but not all chords are diameters

By definition, yes! Geometrically speaking, a diameter is a chord which passes through the center of the circle. Also, it is 2x the radius of the circle. Since the radius remains constant for a given circle, so is the diameter.

A circle has an infinite number if diameters, but they are all the same length. The length of the diameter of a circle is the length of the longest straight line that can be drawn completely inside the circle. If the center of the circle is marked, then it's easy to draw a line that is a diameter ... it's any line that passes through the center of the circle.

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