"परिमिती" च्या विविध आवृत्यांमधील फरक
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ओळ १:
== सूत्रे ==
{| class="wikitable"
! आकार !! सूत्र || सूत्रामधील चल
|-
| [[वर्तुळ]] || <math>2 \pi r\,</math> || <math>r</math> = त्रिज्या.
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| [[त्रिकोण]] || <math>a + b + c,</math> || <math>a</math>, <math>b</math> आणि <math>c</math> = त्रिकोणाच्या
|-
| [[चौरस]] || <math>4l</math> || <math>l</math> = चौरसाची बाजू
|-
| [[आयत]] || <math>2l+2w</math> || <math>l</math> = लांबी आणि <math>w</math> =
|}
टीप : वर्तुळाच्या परिमितीला परीघ म्हणतात.
==लंब वर्तुळाची परिमिती==
a = मोठी त्रिज्या; b = छोटी त्रिज्या.
Approximation 1 :
This approximation is within about 5% of the true value, so long as `a' is not more than 3 times longer than `'`b' (in other words, the ellipse is not too "squashed"):
ellipse perimeter = approx 2pi into square root of (a squared+b squared)/2)
Approximation 2 :
The famous Indian mathematician Ramanujan came up with this better approximation:
ellipse perimeter approx pi into [ 3(a+b) - square root of ((3a+b)(a+3b))]
Approximation 3 :
Ramanujan also came up with this one. First we calculate "h":
h = (a-b)^ 2/(a+b)^^ 2
Then,
ellipse perimeter approx pi(a+b)(1 + 3h/(10+square root of (4-3h))
[[वर्ग:भूमिती]]
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