If the diameter of a circle has endpoints A(7, 2) and B(-1, 8), where is the center of the circle?
1 Answer
Centre of the circle lies at :
Explanation:
Suppose if
X Component:
Y Component:
If
Solution: We are given -
If A and B are the end points along the diameter then we know that the centre of the circle is the midpoint between the two. i.e
So
So the coordinates of the centre
Therefore
Note: You can verify the correctness of the solution by finding the distance between the centre and the two points and verify that they are at the same distance.
A-C Distance:
B-C Distance: