Chapter 9: Q. 5 (page 631)

In Problems5–7, convert the polar equation to a rectangular equation. Graph the equation.
$r = 7$

Short Answer

Expert verified

The rectangular equation is $x^{2} + y^{2} = 49$ .

The graph is as follows,

Step by step solution

Step 1. Given information

We are given a polar equation,

$r = 7$

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

Step 2. Converting the polar equation to rectangular equation

We know that,

$x = r \cos θ and y = r \sin θ x^{2} + y^{2} = r^{2}$

So,

$r = 7$

Squaring both sides, we get

$r^{2} = 7^{2}$

$x^{2} + y^{2} = 49$

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

Step 3. Graphing the equation

The graph is as follows,

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In Problems5–7, convert the polar equation to a rectangular equation. Graph the equation.
$r = 7$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Converting the polar equation to rectangular equation

Step 3. Graphing the equation

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In Problems5–7, convert the polar equation to a rectangular equation. Graph the equation.r=7

Short Answer

Step by step solution

Step 1. Given information

Step 2. Converting the polar equation to rectangular equation

Step 3. Graphing the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In Problems5–7, convert the polar equation to a rectangular equation. Graph the equation.
$r = 7$