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Calculate area of intersecting circles
The area of intersecting circles can be calculated as
Thanks to Eric Eberly for providing this information.
If radii r1, r2 and distance d between the centers are given - then the angles α1 and α2 can be calculated as
α1 = acos[(d2 + r12 - r22)/(2 d r1)]
α2 = acos[(d2 + r22 - r12)/(2 d r2)]
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
The equation for a circle
Calculate chord lengths when dividing the circumference of a circle into an equal number of segments.
Calculate the numbers of circles on the outside of an inner circle - like the geometry of rollers on a shaft.
Calculate the maximum number of circles within a rectangle - can be used to calculate the numbers of pipes or wires in a conduit or similar.
Ellipse, circle, hyperbola, parabola, parallel, intersecting and coincident lines.
Ellipsoid, sphere, hyperboloid, cone and more.
Radius and side lengths of equal areas, circles and squares.
Areas, diagonals and more - of geometric figures like rectangles, triangles, trapezoids ..
The maximum number of smaller rectangles - or squares - within a larger rectangle (or square).
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