My Math Forum EASY Way to Find the Area of a Circle
 User Name Remember Me? Password

 Geometry Geometry Math Forum

 January 22nd, 2017, 05:01 PM #1 Senior Member   Joined: Jul 2016 From: USA Posts: 108 Thanks: 13 EASY Way to Find the Area of a Circle I just thought of a quick simple way to find the area of a circle. Imagine a circle by which it's radius is expanding. At any point you can define the length of it's circumference by multiplying 2*radius*PI. Well then, 2PIr is simply the rate by which our circle is increasing in area with respect to the increasing radius. Integrate 2PIr PIr^2 I am quite sure many people have already thought of it though being as simple as it is.
 January 22nd, 2017, 09:43 PM #2 Senior Member   Joined: Aug 2012 Posts: 2,386 Thanks: 746 Here's a discussion of that observation. It works for spheres of arbitrary dimension. There are a number of interesting points of view and additional web references. calculus - Why is the derivative of a circle's area its perimeter (and similarly for spheres)? - Mathematics Stack Exchange Thanks from VisionaryLen Last edited by Maschke; January 22nd, 2017 at 09:48 PM.
January 23rd, 2017, 12:37 PM   #3
Senior Member

Joined: Jul 2016
From: USA

Posts: 108
Thanks: 13

Quote:
 Originally Posted by Maschke Here's a discussion of that observation. It works for spheres of arbitrary dimension. There are a number of interesting points of view and additional web references. calculus - Why is the derivative of a circle's area its perimeter (and similarly for spheres)? - Mathematics Stack Exchange
Oh that is really cool! Thanks for sharing that link!

 January 23rd, 2017, 12:55 PM #4 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 Don't start running in circles, Len !

 Tags area, circle, easy, find

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post jayinwww Algebra 2 November 25th, 2016 10:21 PM leo255 Calculus 4 May 27th, 2014 12:41 AM yeoky Algebra 4 May 3rd, 2014 01:06 AM nabilkud Algebra 1 October 20th, 2012 10:49 PM youtindia Algebra 5 March 18th, 2011 09:36 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top