The center of circle A is at (4,4), with a radius of 3. What should Riley's first step be to prove that the point B(7,4) lies on the circle?

Question

A. Riley should approximate the distance from A to B
B. Riley should us the distance formula to calculate the length of segment AB
C. Riley should calculate the area of the circle
D. Riley should calculate the circumference of the circle

Answer 1

To prove that point B(7,4) lies on circle A, Riley should determine if the distance from the center of the circle (A) to point B is equal to the radius of the circle. The appropriate way to do this is by using the distance formula.

Thus, the best first step for Riley would be:

B. Riley should use the distance formula to calculate the length of segment AB.

If the calculated distance is equal to the radius (3), then point B lies on the circle.