A circle is passing through two end points A[6,4] and B[10,10]. Find center point of circle
A)7,8
B)8,8
C)8,7
D)7,7

Question

Quizplus · Accepted Answer

The center of a circle passing through two points can be found by determining the midpoint of the line segment connecting those two points. The midpoint formula is $(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$. Applying this to points A[6,4] and B[10,10], we get the midpoint as $(\frac{6 + 10}{2}, \frac{4 + 10}{2}) = (8, 7)$, which is the center of the circle.

A Circle Is Passing Through Two End Points A[6,4] and B[10,10]