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If a circle C with radius 1 rolls along the outside of the circle x2 +...

If a circle C with radius 1 rolls along the outside of the circle x2 + y2 = 49, a fixed point P on C traces out a curve called an epicycloid, with parametric equations x = 8 cos(t) − cos(8t), y = 8 sin(t) − sin(8t). Use one of the formulas below to find the area it encloses. A = C x dy = −C  y dx = 1/2 C x dy − y dx

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