Question: If a circle C with radius 1 rolls along the outside of the circle x 2 + y 2 = 16, a fixed point P

If a circle C with radius 1 rolls along the outside of the circle x² + y² = 16, a fixed point P on C traces out a curve called an epicycloid, with parametric equations x = 5 cos t - cos 5t, y = 5 sin t - sin 5t. Graph the epicycloid and use (5) to find the area it encloses.

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0 4 2 A fx dy f2T 5 cost cos 5t 5 cost 5 cos 5t dt 2 25 cos t 30 cost cos 5t 5 cos ... View full answer

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