In: Math
If a circle C with radius 1 rolls along the outside of the circle x2 + y2 = 36, a fixed point P on C traces out a curve called an epicycloid, with parametric equations x = 7 cos(t) − cos(7t), y = 7 sin(t) − sin(7t). Graph the epicycloid.
Find the area it encloses.
From Green's Theorem, the area of a region enclosed by a curve
[Trignometric formula used
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