Question

to find the standard equation for a circle centered at the origin, we use the distance formula, since the radius measures: a. the distance from the x - coordinate to the origin. b. the circumference. c. the distance from any point inside the circle to the origin. d. the distance from any point on the circle to the origin.

Explanation:

The radius of a circle centered at the origin is defined as the distance from the center (the origin) to any point on the circle. The x - coordinate to the origin is not the radius in general. The circumference is the perimeter of the circle and not the radius. The distance from a point inside the circle to the origin is less than the radius.

Answer:

D. the distance from any point on the circle to the origin.