Polar & parametric equations

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   Find the exact area of the region enclosed by the polar curve $r = 5$ using the polar area formula $A = \frac{1}{2}\displaystyle\int_{0}^{2\pi} r^{2}\,d\theta$.

2. Warm-up

   Find the exact area of the region enclosed by the polar curve $r = 4$ using the polar area formula $A = \frac{1}{2}\displaystyle\int_{0}^{2\pi} r^{2}\,d\theta$.

3. Warm-up

   Find the exact area of the region enclosed by the polar curve $r = 7$ using the polar area formula $A = \frac{1}{2}\displaystyle\int_{0}^{2\pi} r^{2}\,d\theta$.

Problems shown under their original terms: Generated (template, solver-computed).