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## Number of cusps of hypocycloid Solution

STEP 0: Pre-Calculation Summary
Formula Used
n = r1/r2
This formula uses 2 Variables
Variables Used
Radius 1 - Radius 1 is a radial line from the focus to any point of a curve. (Measured in Meter)
Radius 2 - Radius 2 is a radial line from the focus to any point of a curve. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Radius 1: 11 Meter --> 11 Meter No Conversion Required
Radius 2: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = r1/r2 --> 11/13
Evaluating ... ...
n = 0.846153846153846
STEP 3: Convert Result to Output's Unit
0.846153846153846 --> No Conversion Required
0.846153846153846 <-- Number of cusps
(Calculation completed in 00.016 seconds)

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n = r1/r2

## 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 Number of cusps of hypocycloid?

Number of cusps of hypocycloid calculator uses number_of_cusps = Radius 1/Radius 2 to calculate the Number of cusps, The Number of cusps of hypocycloid formula is defined as the number of curves made by the small circle of hypocycloid, where radius_1 = radius of large circle of hypocycloid , radius_2 = radius of small circle of hypocycloid. Number of cusps and is denoted by n symbol.

How to calculate Number of cusps of hypocycloid using this online calculator? To use this online calculator for Number of cusps of hypocycloid, enter Radius 1 (r1) and Radius 2 (r2) and hit the calculate button. Here is how the Number of cusps of hypocycloid calculation can be explained with given input values -> 0.846154 = 11/13.

### FAQ

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