# Cycloids.....Does the name ring a bell ???

Calculus Level 4

Find the length of the complete cycloid given by

$$x=a \times \theta + a \times \sin \theta$$ ; $$y=a - a \times \cos \theta$$ ;

The answer is of the form $$m \times \ a$$ , Find $$m$$ where $$m$$ is a positive constant .

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