Explore **function graphs** with our world's best **polar grapher** of functions.

A **polar grapher** (of functions), also known as a **polar function grapher** or **function polar grapher**, is a graphing software that plots function graphs in the polar coordinate system on their domains. Such a graph is called the **polar graph** or **polar curve** of the function.

Our online **polar grapher**'s unique ability to **rotate radial axes** creates stunning **animated visualizations** that help you to watch the process of graphing in the polar coordinate system, in a whole new way. You can also **control the speed of the animation**, and easily **start**, **pause**, and **resume** the graphing process at any time.

To **graph a function** in the polar coordinate system this online **function polar grapher** uses a sophisticated and easy-to-follow **animation** algorithm to visualize the step-by-step construction of **polar graphs of functions**.

The online grapher also lets you **switch between polar and Cartesian graphs** seamlessly by easily changing the coordinate systems. The graphs are instantly updated, making it useful for students, engineers, and scientists who need to visualize and analyze mathematical functions in both graphical representations.
Instructions

**..t**is replaced by. (You can also use`θ`

`x`

or`t`

; they are internally replaced by`θ`

).**pi**is replaced by.`π`

**inf**(**infinity**) is replaced by.`∞`

**Lines**

**Semi-circles**

**Semi-ellipses**

**Parabolas**

**Semi-hyperbolas**

**Other graphs**

**Lines**

**Circles**

**Spirals**

**Roses**

**Ellipses**

**Parabolas**

**Hyperbolas**

**Cardioids**

**Limacons**

**Lemniscates**

**Butterfly curve**

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