Question

If the endpoints of a diameter of a circle are (-3,6) and (5,0), what are the coordinates of the center of the circle?

Answer 1

To find the center of the circle with endpoints (-3,6) and (5,0), you calculate the midpoint of the line segment connecting these points. This results in the center point being (1,3).

Step-by-step explanation:

To find the coordinates of the center of the circle with endpoints (-3,6) and (5,0), you calculate the midpoint of the line segment connecting these two points. The midpoint formula is ((x1 + x2) / 2, (y1 + y2) / 2). So we calculate:

• x-coordinate: (-3 + 5) / 2 = 2 / 2 = 1
• y-coordinate: (6 + 0) / 2 = 6 / 2 = 3

Therefore, the coordinates of the center of the circle are (1,3).