The coordinates of the endpoints of the diameter of a circle are #(3, 8)# and #(-7, 2)#. What are the coordinates of the center of the circle?

1 Answer
mason m
Nov 14, 2015

Use the midpoint formula.

Explanation:

Consider a circle. The two endpoints of the diameter will be across from one another, and will pass through the center point (that's the definition of the diameter). Also, the very middle of the two endpoints is the center of the circle. To find this point, you can use the midpoint formula: #((x_1+x_2)/2,(y_1+y_2)/2)#

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