#geometry 

![[Pasted image 20240917174507.png]]

A **cardioid** is a curve traced by a point on the perimeter of a circle that is rolling around a fixed [[Окружность|circle]] of the same radius.

## Equation
In [[Полярная система координат|polar coordinates]]:
$$\LARGE r=a(1\pm \cos {\theta})$$
$$\LARGE r=a(1\pm \sin{\theta})$$

## How to sketch
![[Pasted image 20240917180427.png]]