Answer by John Porter for Possibility of finding exact value of circle area
The area of a circle is $\pi \times r^2$Your question is: Can we get the exact area of a circle with the equation?My answer is yes, my test is kind of dumb but here it is:Let $r=\frac{1}{\sqrt\pi}$$$A...
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Answer by user65203 for Possibility of finding exact value of circle area
This explanation by your tutor is a little weird, as you could compute the area of the large triangle straight away, without dissecting in rectangles. It is indeed pretty obvious that the area of the...
View ArticleAnswer by ilia gvari for Possibility of finding exact value of circle area
As I see all of your answers seems correct and totally fits with what calculus idea is(as far as i know it) but I tried to overcome with exact value, by treating every rectangle individually, maybe I...
View ArticleAnswer by fleablood for Possibility of finding exact value of circle area
The handwavy idea of calculus is that an image of rectangles approximates the image of your area so that if you take the limit when your rectangles get thinner and you have a lot of them, the get...
View ArticleAnswer by Danylo Liakhovetskyi for Possibility of finding exact value of...
As I understood your question, you are concerned if we cannot sum infinitely many rectangles to get a triangle. The thing is, to understand what infinite sum of those rectangles means, you first need...
View ArticlePossibility of finding exact value of circle area
I am taking a Calculus course and my current theme is calculating a circle's area from scratch, and the tutor is splitting the circle in smaller circle shapes, draws them as a rectangle and putting...
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