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Chapter 9: Q. 5 (page 631)

In Problems5鈥�7, convert the polar equation to a rectangular equation. Graph the equation.

r=7

Short Answer

Expert verified

The rectangular equation is x2+y2=49.

The graph is as follows,

Step by step solution

01

Step 1. Given information 

We are given a polar equation,

r=7

We have to convert the polar equation to a rectangular equation.

02

Step 2. Converting the polar equation to rectangular equation

We know that,

x=rcos胃andy=rsin胃x2+y2=r2

So,

r=7

Squaring both sides, we get

r2=72

x2+y2=49

Hence, the graph of r=7is a circle centre at origin and with radius equal to7.

03

Step 3. Graphing the equation

The graph is as follows,

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