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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