Question

#1. Find the center of a circle with two endpoints at (9, 12) and (1, 4)

Answer 1

(5, 8)

Step-by-step explanation:

The center of the circle with two endpoints can be found using the below Midpoint formula;

`Center\text{=}((x_1+x_2)/(2),(y_1+y_2)/(2))`

Given x1 = 9, x2 = 1, y1 = 12, and y2 = 4, let's go ahead and substitute these values into the above formula and find the centre of the circle;

`\begin{gathered} \text{Center}=((9+1)/(2),(12+4)/(2)) \\ =((10)/(2),(16)/(2)) \\ =(5,8) \end{gathered}`