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 Larger Radius of Hypocycloid given Perimeter?
Larger Radius of Hypocycloid given Perimeter calculator uses Larger Radius of Hypocycloid = (Perimeter of Hypocycloid*Number of Cusps of Hypocycloid)/(8*(Number of Cusps of Hypocycloid-1)) to calculate the Larger Radius of Hypocycloid, Larger Radius of Hypocycloid given Perimeter is defined as the radius of the larger circle of Hypocycloid or the circle inside which the Hypocycloid shape is inscribed, and calculated using the perimeter of the Hypocycloid. Larger Radius of Hypocycloid is denoted by rLarge symbol.
How to calculate Larger Radius of Hypocycloid given Perimeter using this online calculator? To use this online calculator for Larger Radius of Hypocycloid given Perimeter, enter Perimeter of Hypocycloid (P) & Number of Cusps of Hypocycloid (NCusps) and hit the calculate button. Here is how the Larger Radius of Hypocycloid given Perimeter calculation can be explained with given input values -> 10.15625 = (65*5)/(8*(5-1)).