If a circle C with radius 1 rolls along the outside of the circle x 2 +

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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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