Your pet capybara is leashed to your circular hot tub of radius r in such a way that it can justreach the point opposite the leash-stake by wrapping the leash around the hot tub (see the diagram).Leaving this point and keeping the leash tight, your capybara can walk along a curve that enclosesa region around the hot tub - the ?capyarea?. Your tasks are to find parametric equations of thiscurve (it is partially shown in blue), calculate the area enclosed by it (excluding the hot tub), and,using software, generate a picture that shows both the curve and the hot tub.

A complete final submission will minimally include:1. Parametric equation(s) that give the the boundary of the capyarea along with summary of allwork (calculations) used to derive these

parametric equation(s);3. The total area of the capyarea (excluding the hot tub) along with a summary of the work(calculations) used to calculate the area;3. A figure, created with software, showing both the parametric curve and the hot tub

Stake Hot Tub Capybara