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 = 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.

Solutions

Expert Solution

From Green's Theorem, the area of a region enclosed by a curve

[Trignometric formula used

]

milcah answered 1 year ago

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