To calculate the center of a circle (h, k):
\[ (h, k) = \left( \frac{x1 + x2}{2}, \frac{y1 + y2}{2} \right) \]
Where:
A center of a circle is a specific point inside the circle from which all points on the circumference (boundary) of the circle are equidistant. In other words, if you draw a line from the center to any point on the circle’s edge, that line, known as the radius, will always be the same length, no matter which point on the circle you choose.
Let's assume the following values:
Step 1: Use the center of circle calculation formula:
\[ (h, k) = \left( \frac{2 + 8}{2}, \frac{3 + 7}{2} \right) = (5, 5) \]
The center of the circle is (5, 5).
