Question

The ends of the diameter of a circle are located at (-4,-2) and (5.3). What are the coordinates of the center of the circle?

A) -4.5,-2.5
B) -4.5,0.5
C) 0.5,0.5
D) 0.5,-2.5

Answer 1

The coordinates of the center of the circle, given the endpoints of its diameter, are found by averaging the x and y coordinates separately. In this case, the center is at (0.5, 0.5), option C.

Step-by-step explanation:

The coordinates of the center of a circle can be found by averaging the x-values and the y-values of the ends of its diameter. Given the points (-4, -2) and (5, 3), we can find the center by taking (-4+5)/2 for the x-coordinate, and (-2+3)/2 for the y-coordinate.

For the x-coordinate: (-4+5)/2 = 1/2 = 0.5
For the y-coordinate: (-2+3)/2 = 1/2 = 0.5

Therefore, the center of the circle is at (0.5, 0.5), which corresponds to option C.