The equation of a unit circle - where the center of the circle is located in the origo of the coordinate system and the radius = 1 - can be expressed as
x2 + y2 = 1 (1)
The standard form for the equation of a circle can be expressed as
(x - a)2 + (y - b)2 = r2 (2)
a = x coordinate position of the circle center
b = y coordinate position of the circle center
r = circle radius
The general form for the equation of a circle can be expressed as
x2 + y2 + A x + B y + C = 0 (3)
A, B, C = constants
Radius of circle
r = (a2 + b2 - C) 1/2 (4)
Coordinates in the Circle Centre
a = - A / 2 (5a)
b = - B / 2 (5b)
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
Calculate area of intersecting circles
Distance and intermediate position between two point in a cartesian x and y coordinate system.
The controid of square, rectangle, circle, semi-circle and right-angled triangle.
Calculate chord lengths when dividing the circumference of a circle into an equal number of segments.
Circumferences and areas of circles with diameters in inches.
Distance between two points in a three dimension x, y and z coordinate system - online calculator.
Ellipse, circle, hyperbola, parabola, parallel, intersecting and coincident lines.
Radius and side lengths of equal areas, circles and squares.
Areas, diagonals and more - of geometric figures like rectangles, triangles, trapezoids ..
Convert between Cartesian and Polar coordinates.
Radian is the SI unit of angle. Convert between degrees and radians. Calculate angular velocity.
Calculate the number of small circles that fits into an outer larger circle - ex. how many pipes or wires fits into a larger pipe or conduit.
The maximum number of smaller rectangles - or squares - within a larger rectangle (or square).