Graphs of Polar Equations

There are many different types of polar graphs such as limacons, rose curves, circles and lemniscates. The four different types of Limacons are: limacons with inner loop, cardioid (heart-shaped), dimpled limacons and convex limacons. There are also four different types of rose curves: two with r=acosnfeta and two with r=asinnfeta. There are also two different types of circles: r=acosfeta and r=asinfeta. Lastly there are two different types of lemniscates: r squared= a squared sin2feta and r squared=a squared cos2feta. For limacons a must be greater than zero and b must be greater than zero. For rose curves: the number of petals if the number is odd, and two times the number of petals if the number is even, the number of petals is equal or greater than two.