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

Enter a value for all fields

The **Equation of Circle from Center and Point Coordinates** 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,k**) Coordinates of Center of Circle - (
**x,y**) Coordinates of any Point on Circle

**Equation**: The tool returns:

- (GE) General form of the equation for the circle in the following format: X
^{2}+ bX + Y^{2}+ dY + e = 0 - (R) Radius of Circle
- (C) Circumference of Circle
- (A) Area of Circle

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**- Computes the area of a circle given the radius**(A = π r**.^{2})**Area of Circle Arc Segment f(r,θ)**- Computes the area of an arc segment of a circle given the radius (**r**) and angle (**θ**)**Area of Circle Arc Segment Area f(r,h)**- Computes the area of an arc segment of a circle given radius (**r**) and the depth (**h**) into the circle.**Area of Circle Sector f(r,Θ)**- Computes the area of a sector (pie slice) of a circle given the radius (**r**) and angle (**Θ**).**Angle of Circle Sector f(r,h)**- Computes the angle in a circle from the radius and depth of the chord.**Area of Circle Annulus**- Computes the area of an annulus (ring) given the inner radius (**r**) and outer radius (**R**).**Radius of Circle from Center and a Point**- Computes the radius of a circle given the center point (**h,k**) and any other point (**x,y**) on the circle.**Circumference of Circle**- Computes the circumference of a circle given the radius (**C = 2 π r**).**Circle Arc Length**- Computes the length of an arc length on a circle given the radius (r) and angle (**Θ**)**Circle within a Triangle**- 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**- Computes the radius of a circle that circumscribes a triangle given the length of the three sides (**a,b,c**) of the triangle.**Circle Diameter from Area**- Computes the radius and diameter of a circle from the area.**Circle Radius from Circumference**- Computes the radius of a circle given the circumference.**Circle Circumference from Area**- Computes the circumference of a circle given the area.**Circle Radius from Area**- Computes the radius of a circle given the area.**Chord Length**: Computes the length of a chord in a circle from the radius and height.**Circle Radius from Chord**- Computes the radius of a circle based on the length of a chord and the chord's center height.**Equation of Circle from Center and Point Coordinates**- Develops the general equation of a circle based on the coordinates of the center (h,k) and any point on the circle (x,y).**Circle with same Perimeter as an Ellipse**- Computes the radius of the circle with the same perimeter of an ellipse defined by the semi-major and semi-minor axes.**Rectangles to Cover a Circle**- Computes the number of rectangles needed to minimally cover a circle based on the circle's diameter and the length and width of the rectangles.