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Finding the Center of a Circle

Runner74

New member
Jun 9, 2021
2
Hello!

I have an application where I need to find the center of a circle where I am having trouble coming up with a simple way to do this. The diameter of the circle is known and i want to be able to determine the location of it where only a portion of the circle is known. (see the image below) I will know the location of a single point anywhere in the red circumference could anyone help me with this?
1623225283571.png
 

Country Boy

Well-known member
MHB Math Helper
Jan 30, 2018
758
Draw the straight line between two points on the circle. Draw the line bisecting that straight line. Do the same with a second pair of points. The two bisectors intersect at the center of the circle.
 

Runner74

New member
Jun 9, 2021
2
Thank you for your reply! I am looking for a formula that i could use to calculate where the center of the circle is based on the known diameter and a single point that resides in the red area. Sorry i should have meant to say in the original post that i was looking for a simple formula.
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
938
Thank you for your reply! I am looking for a formula that i could use to calculate where the center of the circle is based on the known diameter and a single point that resides in the red area. Sorry i should have meant to say in the original post that i was looking for a simple formula.
You're going to need at least two distinct points on the red arc of the circle to find its center.