What is a Hypocycloid?
In geometry, a Hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. As the radius of the larger circle is increased, the Hypocycloid becomes more like the cycloid created by rolling a circle on a line.
Any Hypocycloid with an integral value of k, and thus k cusps, can move snugly inside another Hypocycloid with k+1 cusps, such that the points of the smaller Hypocycloid will always be in contact with the larger. This motion looks like 'rolling', though it is not technically rolling in the sense of classical mechanics, since it involves slipping.
How to Calculate Chord Length of Hypocycloid given Area?
Chord Length of Hypocycloid given Area calculator uses Chord Length of Hypocycloid = 2*sin(pi/Number of Cusps of Hypocycloid)*Number of Cusps of Hypocycloid*sqrt(Area of Hypocycloid/(pi*(Number of Cusps of Hypocycloid-1)*(Number of Cusps of Hypocycloid-2))) to calculate the Chord Length of Hypocycloid, Chord Length of Hypocycloid given Area formula is defined as the linear distance between any two adjacent cusps of the Hypocycloid, and calculated using the area of the Hypocycloid. Chord Length of Hypocycloid is denoted by lc symbol.
How to calculate Chord Length of Hypocycloid given Area using this online calculator? To use this online calculator for Chord Length of Hypocycloid given Area, enter Number of Cusps of Hypocycloid (NCusps) & Area of Hypocycloid (A) and hit the calculate button. Here is how the Chord Length of Hypocycloid given Area calculation can be explained with given input values -> 11.72462 = 2*sin(pi/5)*5*sqrt(150/(pi*(5-1)*(5-2))).