Enclosed area in parametric curve

Calculus Level 5

A curve is parameterized by

\[ r(t) = \begin{bmatrix} 10 \cos t \\ 10 \sin \left(3 t - \dfrac{\pi}{4} \right ) \end{bmatrix} \]

Find the area enclosed within the curve. (The yellow shaded area in the figure).

Give your answer to 3 decimal places.

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