@Anish Puthuraya
–
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
·
3 years, 1 month ago

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
·
3 years, 1 month ago

Log in to reply

@Sudeep Salgia
–
\(\pi(2^{1/2}),2\pi(2^{1/2}),\pi(2+2^{1/2})\) and one other i dont remember them clearly
–
Anirudha Nayak
·
3 years, 1 month 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
·
3 years, 1 month ago

## Comments

Sort by:

TopNewestLet 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 · 3 years, 1 month ago

Log in to reply

– Anish Puthuraya · 3 years, 1 month ago

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

– Anirudha Nayak · 3 years, 1 month ago

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 itLog in to reply

– Anish Puthuraya · 3 years, 1 month ago

It was yesterday. What was the exact question?Log in to reply

– Anirudha Nayak · 3 years, 1 month ago

i have posted itLog in to reply

– Anirudha Nayak · 3 years, 1 month ago

how was d exam wht r u expectingLog in to reply

– Anish Puthuraya · 3 years, 1 month ago

atleast 100 to aana chahiye.Log in to reply

– Anirudha Nayak · 3 years, 1 month ago

me tooo simple paper thoughLog in to reply

– Anirudha Nayak · 3 years, 1 month ago

ans for d questionLog 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 · 3 years, 1 month ago

Log in to reply

– Anirudha Nayak · 3 years, 1 month ago

\(\pi(2^{1/2}),2\pi(2^{1/2}),\pi(2+2^{1/2})\) and one other i dont remember them clearlyLog 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 · 3 years, 1 month ago

Log in to reply