Problem 953. Pi Estimate 1

Created by Ed Hall

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{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Estimate Pi as described by the Leibniz formula (see the following link):</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80\"><w:r><w:t>https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80</w:t></w:r></w:hyperlink></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Round the result to six decimal places.</w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 81px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 40.5px; transform-origin: 407px 40.5px; vertical-align: baseline; "><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 222.5px 8px; transform-origin: 222.5px 8px; unicode-bidi: normal; "><span style="">Estimate Pi as described by the Leibniz formula (see the following link):</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><a target='_blank' href = "https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80"><span style=""><span style="">https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80</span></span></a></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 121px 8px; transform-origin: 121px 8px; unicode-bidi: normal; "><span style="">Round the result to six decimal places.</span></span></div></div></div>

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Solution Stats

2423 Solutions
517 Solvers

Last Solution submitted on May 28, 2022

Last 200 Solutions

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11 Comments

11 Comments

Show 8 older comments

tiwag7 on 8 Oct 2019

please update the link to the document, cant find it anymore

Daniel Montag on 30 Oct 2019

The link is broken, but you can solve this problem with the Leibniz formula for π.

Adam Jelínek on 2 Dec 2019

The principle is described here: https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80

Paul Derwin on 4 May 2020

@Jordan Wilkerson change the number format and round to significant digits shown in test code

Jordan Wilkerson on 4 May 2020

@Paul Derwin
Oh right, duh. I should've thought of that haha. That worked! I deleted my last comment since it basically was a solution after all. Thanks for your help!

Rafael S.T. Vieira on 12 Jul 2020

Leibniz formula, precision 1e-6.

Anoop V S on 3 Oct 2020

please update the link.

goc3 on 3 Oct 2020

The description has been updated per the link provided in a prior comment.

Sajjad Hossain on 4 Oct 2020

function [estimate] = pi_est1(nMax)
estimate=0;
for i=1:(nMax-1)
m=2*i+1;
if mod(i,2)~=0
estimate=(1/m)+estimate;
else
estimate=-(1/m)+estimate;
end
end

estimate=(1-estimate)*4;
estimate=round(estimate,6);
end

Davide del Giudice on 21 Oct 2020

I believe the task statement should be modified by specifying that the estimate should be rounded. Otherwise, the test suite can be edited accordingly.

goc3 on 25 Nov 2020

The problem description has been updated to specify that rounding is required.

Solution Comments

Solution 3817358

1 Comment

1 Comment

Lauren Spadt on 24 Nov 2020

My code worked for tests 1 and 3 perfectly well, but kept getting 3.140592000000000 instead of 3.140593000000000 for test 2.

Solution 3664118

1 Comment

1 Comment

Yaowei Zhu on 15 Nov 2020

stupid

Solution 2835762

2 Comments

2 Comments

Maryam HCTRAK Yousef on 14 Aug 2020

I tried my answer on Matlab and It is correct but when I wrote it here it shows me wrong.

Chien-Han Su on 2 Nov 2020

try round to 6 digit

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Problem 953. Pi Estimate 1

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Problem 953. Pi Estimate 1

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