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Which of the following is true about the diameter of a sphere?(1 point)
Responses

The diameter of a sphere passes through the center of the circle.
The diameter of a sphere passes through the center of the circle.

The diameter is not a chord.
The diameter is not a chord.

The diameter is 2.5 times the length of the radius.
The diameter is 2.5 times the length of the radius.

The diameter is the shortest length on a sphere.

1 answer

The correct response is:

The diameter of a sphere passes through the center of the circle.

This statement is true because the diameter is defined as the longest chord of the sphere (or circle), connecting two points on the surface and passing through the center.

Here’s a breakdown of the other options:

  • The diameter is not a chord. (False) - The diameter is indeed a special type of chord, the longest chord in the circle or sphere.

  • The diameter is 2.5 times the length of the radius. (False) - The diameter is actually 2 times the length of the radius (D = 2R).

  • The diameter is the shortest length on a sphere. (False) - The shortest length between two points on the surface of a sphere is along the great circle, not the diameter.

So, the first statement is the only true one.