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`"radius"_"(Circle)" = sqrt(( "x" - "h" )^2 + ( "y" - "k" )^2)`

Enter a value for all fields

This **Radius of a Circle** calculator computes the radius of a circle given the circle's center and a point *Circle*anywhere on the circle.

**INSTRUCTIONS:** Enter the following:

- (
**h**) This is the X-coordinate of the circle's center - (
**k**) This is the Y-coordinate of the circle's center - (
**x**) This is the X-coordinate of the point on the circle - (
**y**) This is the Y-coordinate of the point on the circle

**Radius:** The calculator returns the radius of the circle defined by these two points.

To compute the general form of the equation of a circle from the center point (h,k) and a point on the circle (x,y), CLICK HERE. The general form of a circle is typically as follows: X^{2} + bX + Y^{2} + dY + e = 0

Note, the radius in this calculation is simply the distance between the two points. The circle's center can be placed anywhere in the X-Y Plane. The circle in this equation is centered at the point (h,k) and the point on the circle is (x,y)

**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.