How to Determine the Center of a Circle
Description
A detailed tutorial on how to determine the center of a circle. Step by step tutorial including several examples of the center of a circle for reference.
Overview
The center of the circle is very easy to find. It is one of the endpoints of the radius and the midpoint of the diameter. The video shows you how to find it based on a series of accurate drawing. However, there is a mathematical way to find the center of the circle, which is also sometimes called the origin of the circle. Just use the midpoint formula with the diameter. If you have the radius just multiply it by two, because you cannot use the distance formula without already having the coordinates of the origin.
![\int_{a}^{b} f(x) \, dx \approx \frac{b-a}{6}\left[f(a) + 4f\left(\frac{a+b}{2}\right)+f(b)\right]](http://s.wordpress.com/latex.php?latex=%20%5Cint_%7Ba%7D%5E%7Bb%7D%20f%28x%29%20%5C%2C%20dx%20%5Capprox%20%5Cfrac%7Bb-a%7D%7B6%7D%5Cleft%5Bf%28a%29%20%2B%204f%5Cleft%28%5Cfrac%7Ba%2Bb%7D%7B2%7D%5Cright%29%2Bf%28b%29%5Cright%5D&bg=ffffff&fg=000000&s=0 "\int_{a}^{b} f(x) \, dx \approx \frac{b-a}{6}\left[f(a) + 4f\left(\frac{a+b}{2}\right)+f(b)\right]")
