2.6 Question 15

[Eigenvalue]

Precalculus
Michael Sullivan
Edition 4
Chapter 2, Section 2.6

A semicircle of radius r is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle.

a) Express the area A of the rectangle as a function of the radius r of the semicircle.

b) Express the perimeter p of the rectangle as a function of r