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`Eq = f( "[h,k]", "[x,y]")`

Enter a value for all fields

The **General Equation of Circle** tool develops the general equation of a circle based on the coordinates of the center (h,k) and any point on the circle (x,y).

**INSTRUCTIONS**: Enter the following:

- (
**h**) This is the x coordinate of the center of the circle. - (
**k**) This is the y coordinate of the center of the circle. - (
**x**) This is the x coordinate of any point on the circle. - (
**y**) This is the y coordinate of any point on the circle.

**Equation**: The tool returns the general form of the equation for the circle in the following format:

- X
^{2}+ bX + Y^{2}+ dY + e = 0

To compute the radius of the circle based on the center point and a point on the circle, CLICK HERE.

The general equation for a circle with (h,k) at the center and a point on (x,y) is:

`(x-h)^2 + (y-k)^2 = r^2`

where:

`r = sqrt((x-h)^2 + (y-k)^2)`

**Circle Area**- This computes the area of a circle given the radius**(A = π r**.^{2})**Segment Area f(r,θ)**- This computes the area of an arc segment of a circle given the radius (**r**) and angle (**θ**)**Segment Area f(r,h)**- This computes the area of an arc segment of a circle given radius (**r**) and the depth (**h**) into the circle.**Sector Area f(r,Θ)**- This computes the area of a sector (pie slice) of a circle given the radius (**r**) and angle (**Θ**).**Area of Annulus**- This computes the area of an annulus (ring) given the inner radius (**r**) and outer radius (**R**).**Radius -Center to a Point**- This computes the radius of a circle given the center point (**h,k**) and any other point (**x,y**) on the circle.**Circumference**- This computes the circumference of a circle given the radius (**C = 2 π r**).**Arc Lengths**- This computes the length of a cord segment (arc length) on a circle given the radius (r) and angle (**Θ**)**Circle within a Triangle**- This computes the radius of a circle inscribed within a triangle given the length of the three sides (**a,b,c**) of the triangle.**Circle around a Triangle**- This computes the radius of a circle that circumscribes a triangle given the length of the three sides (**a,b,c**) of the triangle.**Radius from Circumference**- This computes the radius of a circle given the circumference.**Circumference from Area**- This computes the circumference of a circle given the area.**Radius from Area**- This computes the radius of a circle given the area.**Radius from Chord**- This computes the radius of a circle based on the length of a chord and the chord's center height.