A circle is defined in rectangular coordinates by .

MATHEMATICS · Multi-part · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

A circle is defined in rectangular coordinates by x2+y2=9x^{2}+y^{2}=9. (a) Express the equation of the circle in polar coordinates. (b) Using polar coordinates, set up and evaluate an integral that gives the area contained in the first quadrant by this circle. Include all steps leading to the numerical value of the area.

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