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The curve generated by a point on the circumference of a circle, rolling along another circle inside it, is called a ________(a) Epicycloid(b) Epitrochoid(c) Hypocycloid(d) TrochoidI have been asked this question during a job interview.Enquiry is from Curves Used in Engineering Practice topic in portion Lettering Practice, Scales & Curves of Civil Engineering Drawing

Answer»

Right option is (c) Hypocycloid

To EXPLAIN I would say: Hypocycloid is a special plane curve generated by the trace of a fixed point on a small CIRCLE that rolls within a larger circle. It is comparable to the cycloid but instead of the circle rolling along a LINE, it rolls within a circle. In the FIGURE below, the circle with radius b rolls inside the bigger circle THUS making the curves known as hypocycloid.



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