flonewport2 flonewport2
  • 03-05-2021
  • Mathematics
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The diameter of a circle has has endpoints at (3,1) and (11,7) find the center of the circle

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altavistard
altavistard altavistard
  • 03-05-2021

Answer:

   The center of the circle is (7, 4)          

Step-by-step explanation:

Use the midpoint formula to obtain the x- and y-coordinates of the midpoint, which is also the center of the circle.

                3 + 11

xm = h = ------------ = 7

                     2

                1 +  7

ym = k = ------------ = 4

                     2

The center of the circle is (7, 4)

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