### Home > APCALC > Chapter 11 > Lesson 11.3.1 > Problem11-81

11-81.

Calculate the area of the region bounded by the curves r = (2θ) and r = –θ. A graph of this region is shown below. 11-81 HW eTool (Desmos). Homework Help ✎

Determine the bounds for each curve.

$A=\int_0^{2\pi}\frac{1}{2}(-\theta)^2d\theta-\int_0^{\pi}\frac{1}{2}(2\theta)^2d\theta$

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