Replace the given Cartesian equation with an equivalent polar equation.

{eq}x^2 + y^2 - 4x = 0 {/eq}

## Question:

Replace the given Cartesian equation with an equivalent polar equation.

{eq}x^2 + y^2 - 4x = 0 {/eq}

## Converting Cartesian Equation to Polar Equation:

To convert a cartesian equation to polar equation, we will use the following rules:

{eq}x = r \cos (\theta ) \, \text{and} \, y = r \sin (\theta ), {/eq}

and {eq}r^2 = x^2 + y^2. {/eq}

Where, {eq}(x,y) {/eq} is a point in cartesian coordinates and {eq}(r, \theta ) {/eq} is a point in polar coordinates.

In polar coordinates, {eq}r {/eq} determines the distance from origin to the point and {eq}\theta {/eq} determines the angle between the line which is from origin to the point and the {eq}x- {/eq}axis.

## Answer and Explanation: 1

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View this answerThe Cartesian form of equation is given by:

{eq}x^2 + y^2 - 4x = 0. \hspace{1.4cm}{/eq} (Equation 1 )

Now, substituting {eq}x^2 + y^2 = r^2 \,...

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Chapter 7 / Lesson 37Learning about the Cartesian coordinate system can help students when graphing. This lesson plan includes tactile graphing activities and a game where students use the Cartesian coordinate system to sink their partner's battleships.