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When the circle rolls along another circle inside it, the curve is called a __________

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When the circle rolls along another circle inside it, the curve is called a __________

(a) Epicycloid

(b) Cycloid

(c) Trochoid

(d) Hypocycloid

This question was posed to me in class test.

The query is from Construction of Cycloidal Curves topic in portion Geometrical Construction of Engineering Drawing

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Right answer is (d) Hypocycloid

Explanation: Cycloid is a curve generated by a point on the circumference of a circle which rolls along a straight line. ‘Epi’ represents the directing path is a circle. Trochoid is a curve generated by a point fixed to a circle, within or outside its circumference, as the circle rolls along a straight line. ‘Hypo’ represents the generating circle is inside the directing circle.

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