How do you find the center of a circle with the Midpoint Formula?

Answer 1

Have the endpoints of the diameter.

Assuming you have either endpoint of the diameter of a circle, you can use the midpoint formula to find the point midway between the two points. According to the definition of a diameter, this will be the circle's center point.

If you have the points #(x_1,y_1)# and #(x_2,y_2)#, the midpoint formula is #((x_1+x_2)/2,(y_1+y_2)/2)#.

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Answer 2

Wyatt Anderson

To find the center of a circle using the Midpoint Formula, you need to have the coordinates of two points on the circle's circumference. Then, apply the Midpoint Formula, which states that the midpoint of a line segment with endpoints ((x_1, y_1)) and ((x_2, y_2)) is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})). This midpoint will be the center of the circle.

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Answer from HIX Tutor

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