Question

Match each of the graphs (A) through (H) to one of the following polar equations.

$r=2$

Short answer

The given polar equation matches the graph given in choice (E)

Step-by-step solution

Step 1. Given information

The given polar equation is$r=2$

Step 2. Find the graph for particular polar equation.

$$\begin{gathered} r=2 \\ {r}^2=4 \end{gathered}$$

As $r^2=x^2+y^2$

So,

$x^2+y^2=4$, this is rectangular form of the given polar equation.

The graph for $x^2+y^4=4$matches with the option (E).