Question

Which point is on the circle centered at the origin with a radius of 5 units?

1) (2, -21)
2) (2, 123)
3) (2, 1)
4) (2, 3)

Answer 1

To determine the point on the circle centered at the origin with a radius of 5 units, use the distance formula to calculate the distance between each point and the origin. The point that has a distance of 5 units from the origin is on the circle. The correct answer is option 3) (2, 1).

Step-by-step explanation:

The point that lies on the circle centered at the origin with a radius of 5 units can be determined by using the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:

distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Using the origin as (0,0) and the radius as 5 units, substitute the given points and calculate the distance for each option. The point that has a distance of 5 units from the origin is on the circle.

The correct answer is option 3) (2, 1).