Question

29. Circle C is centered at the origin. If the radius of circle C is 5, which of the following statements is TRUE?

If distance from the origin to a given point is greater than five, then one point lies on Circle C

If the distance from the origin to a given point is five, then the point lies on Circle C

If the distance from the origin to a given point is less than five, then the point lies outside the circle C

If the distance from the origin to a given point is greater than five, then the point lies inside Circle C

Answer 1

The correct statement is:

If the distance from the origin to a given point is five, then the point lies on Circle C.

Explanation:

This is because the distance from the center of the circle (which is at the origin) to any point on the circle is equal to the radius of the circle, which in this case is 5. Therefore, any point that is exactly 5 units away from the origin must lie on the circle.

If the distance from the origin to a given point is greater than five, then the point lies outside Circle C, because the point is farther away from the center of the circle than the radius.

If the distance from the origin to a given point is less than five, then the point lies inside Circle C, because the point is closer to the center of the circle than the radius.