What is the center of the circle that has a diameter whose endpoints are (9, 7) and (-3, -5)? A. (6, 6) B. (3, 1) C. (3, 4)

Question

asked Mar 19, 2020 173k views

1 Answer

Deepali Agarwal · Answer 1 · 2020-03-26T13:44:29+0000

Answer: OPTION B.

Explanation:

Given the endpoints of the diameter of the circle, we need to find the midpoint, which is the center of the circle.

The following formula is used to calculate the Midpoint:

M=((x_1+x_2)/(2),(y_1+y_2)/(2))

Given the endpoints of the diameter of the circle:

$(9, 7)\ and\ (-3, -5)$

We can identify that:

$x_1=9\\x_2=-3\\y_1=7\\y_2=-5$

Then, we can substitute these values into the formula:

$M=((9+(-3))/(2),(7+(-5))/(2))\\\\M=(3,1)$

Therefore, the center of the circle is:
(3,1)