Passing through Intersecting point of two circles and another point

Passing through Intersecting point of circle and a straight line and another point

Chord Bisected at a Point

Having a center and a tangent

dialogs

Center and Radius or the Intercepts of a Circle from its Equation

Input the equation of the circle to find out general data related to it.

In case of inputting square roots, press the square root button and activate it. To insert fractions, insert it converting into decimals. For example, \(\frac{3}{4}\) is to be inputted as \(0.75\). But the output will be in decimals. Again, for working with more irrational numbers like \(2+\sqrt3\), you must input it in decimal form using full-stop \((.)\) as the decimal point. You can find tangents satisfying different criteria on this calculator.

\(x^2+y^2+2gx+2fy+c=0\)

\((x-a)^2+(y-b)^2=r^2\)

The circle has center \((-g, -f)\) and radius \(\sqrt{g^2+f^2-c}\).

Create the only circle:

The circle has center \((a, b)\) and radius \(r\).

Create the only circle:

Theory [Equation of a Circle from its intercept or other data]

If we have parameters \(g\) , \(f\) and \(c\) of our circle, then we can just have the equation: $$x^2+y^2+2gx+2fy+c=0$$ Again, the X-axis intercept is \(2\sqrt{g^2-c}\) and Y-axis intercept is \(2\sqrt{f^2-c}\).