Chapter 11.3, Problem 7E

To determine

Tosketch:The set of points whose polar coordinates satisfy the equation $r^2=4$ .

Answer to Problem 7E

The result is a circle with radius 2.

Explanation of Solution

Given information:

The equation $r^2=4$

Here, $r$ is the distance of all the point from the origin.

Graph:

Given equation is $r^2=4$ .

Solve the equation

  $\begin{array}{c}{r}^2=4\\ r=\sqrt{4}\\ =\pm 2\end{array}$

Now, draw all the point with a distance $2$ from the origin starting from $0\text{to}\text{2}\pi$ to identify the polar form. As a result it form a circle.

  

Conclusion:

Hence, the result is a circle with radius 2.