In this video I go over another example on calculating the area of polar curves and this time find the area enclosed by a circle yet separated by a cardioid. The Cardioid, or Heart in Greek, is the same formula I had previously graphed in my earlier example video. To save time, I plot both of the graphs together by using the Desmos calculator to obtain the resulting area we need to calculate. The first step in solving for the area is to find the points at which they intersect. From there we can apply the formula for the area of a polar curve which I covered in my earlier video, but this time we solve for the area of a polar circle, and then subtract from it the area of the polar cardioid. This is a very important video in understanding how to go about solving in detail the area enclosed by two polar curves, so make sure to watch this video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvVAKCYLCqdXeyXJow
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/video-notes-polar-coordinates-area-example-2-cardioid-and-circle
Related Videos:
Polar Coordinates: Area: Example 1: r = cos 2ϴ:
Polar Coordinates: Area Formula:
Polar Coordinates: Graphing With Polar Curves with Desmos Calculator:
Polar Coordinates: Cartesian Connection:
Polar Coordinates:
Parametric Equations and Polar Coordinates:
Polar Coordinates: Example 7: Cardioid:
Half Angle Trigonometry Identities: .
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
Google Plus: https://mes.fm/gplus
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: [email protected]
Try our Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
▶️ DTube
▶️ IPFS
I don’t always determine the area of a polar curve but when I do I usually subtract from it the area of another polar curve ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/video-notes-polar-coordinates-area-example-2-cardioid-and-circle
Being A SteemStem Member