Question

what are the equationnof deltoid and astroid

Answer 1

Step-by-step explanation:

these are the locus the moving circle in a big radius circle

Answer 2

Answer:

By definition, a deltoid is a hypocycloid with 3 cusps. By Equation of Hypocycloid, the equation of H is given by: {x=(a−b)cosθ+bcos((a−bb)θ)y=(a−b)sinθ−bsin((a−bb)θ) From Number of Cusps of Hypocycloid from Integral Ratio of Circle Radii, this can be generated by a rotor C1 of radius 13 the radius of the stator.

By definition, an astroid is a hypocycloid with 4 cusps. By Equation of Hypocycloid, the equation of H is given by: {x=(a−b)cosθ+bcos((a−bb)θ)y=(a−b)sinθ−bsin((a−bb)θ) ... {x=3bcosθ+bcos3θy=3bsinθ−bsin3θ