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

Question

a. Negin should use the distance formula to calculate the length of segment AB
b. Negin should calculate the circumference of the circle
c. Negin should calculate the area of the circle
d. Negin should approximate the distance from A to B

Answer 1

To prove that the point B (7,4) lies on circle A, Negin's first step should be:

a. Negin should use the distance formula to calculate the length of segment AB.

This approach will allow her to determine whether the distance from the center of circle A (4,4) to point B (7,4) is equal to the radius of the circle (3). If the distances match, it confirms that point B lies on the circle.