E-L-L-I-P-S-E

How to find the perimeter of an ellipse???

Note by Anirudha Nayak
4 years, 3 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

Let the ellipse be : \(\displaystyle \frac{x^2}{a^2}+\frac{y^2}{b^2} = 1\)

Parametric coordinates : \(\displaystyle (x,y) = (a\cos\theta,b\sin\theta)\)

\[ds^2 = dx^2+dy^2\]

\[ds^2 = \left((\frac{dx}{d\theta})^2 + (\frac{dy}{d\theta})^2\right)d\theta^2\]

\[ds^2 = (a^2\sin^2\theta+ b^2\cos^2\theta)d\theta^2\]

\[ds = \sqrt{(a^2\sin^2\theta+ b^2\cos^2\theta)}d\theta\]

Integrate it from \(\displaystyle 0\) to \(\displaystyle 2\pi\), and you will get the result.

Anish Puthuraya - 4 years, 3 months ago

Log in to reply

Good luck integrating that monster.! (it hasn't been solved yet)

Anish Puthuraya - 4 years, 3 months ago

Log in to reply

i am surprised This question came in VIT couldnt solve it maths was at a good level indeed when is urs or have u already given it

Anirudha Nayak - 4 years, 3 months ago

Log in to reply

@Anirudha Nayak It was yesterday. What was the exact question?

Anish Puthuraya - 4 years, 3 months ago

Log in to reply

@Anish Puthuraya i have posted it

Anirudha Nayak - 4 years, 3 months ago

Log in to reply

@Anirudha Nayak how was d exam wht r u expecting

Anirudha Nayak - 4 years, 3 months ago

Log in to reply

@Anirudha Nayak atleast 100 to aana chahiye.

Anish Puthuraya - 4 years, 3 months ago

Log in to reply

@Anish Puthuraya me tooo simple paper though

Anirudha Nayak - 4 years, 3 months ago

Log in to reply

@Anish Puthuraya ans for d question

Anirudha Nayak - 4 years, 3 months ago

Log in to reply

Were there any options? I am asking because as Anish said that the value of the integral has no clear form. Maybe they intended to ask something different??

Sudeep Salgia - 4 years, 3 months ago

Log in to reply

\(\pi(2^{1/2}),2\pi(2^{1/2}),\pi(2+2^{1/2})\) and one other i dont remember them clearly

Anirudha Nayak - 4 years, 3 months ago

Log in to reply

There is no exact formula but use the famous Indian mathematician Ramanujan came up with this better approximation:search Ramanujan circumference of ellipse formula

Mardokay Mosazghi - 4 years, 3 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...