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

1 Find The Center Of A Circle With Two Endpoints At 9 12 And 1 4 class=

Sagot :

Answer:

(5, 8)

Explanation:

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

[tex]Center\text{=}(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

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;

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

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