Percent Error Pi X 10 7
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| Scientific Calculator | Statistics Calculator In the real world, the data measured or used is normally different from the true value. The error comes from the measurement inaccuracy or the approximation used https://answers.yahoo.com/question/index?qid=20090908220247AATz8uq instead of the real data, for example use 3.14 instead of π. Normally people use absolute error, relative error, and percent error to represent such discrepancy: absolute error = |Vtrue - Vused| relative error = |(Vtrue http://www.calculator.net/percent-error-calculator.html - Vused)/Vtrue| (if Vtrue is not zero) percent error = |(Vtrue - Vused)/Vtrue| X 100 (if Vtrue is not zero) Where: Vtrue is the true value Vused is the value used The definitions above are based on the fact that the true values are known. In many situations, the true values are unknown. If so, people use the standard deviation to represent the error. Please check the standard deviation calculator. Math CalculatorsScientificFractionPercentageTimeTriangleVolumeNumber SequenceMore Math CalculatorsFinancial | Weight Loss | Math | Pregnancy | Other about us | sitemap © 2008 - 2016 calculator.net
Example: I estimated 260 people, but 325 came. 260 − 325 = −65, ignore the "−" sign, so my error is 65 "Percentage Error": show the error as a percent of the exact value ... so divide by the exact value and make https://www.mathsisfun.com/numbers/percentage-error.html it a percentage: 65/325 = 0.2 = 20% Percentage Error is all about comparing a guess https://www.quora.com/How-do-I-compute-the-percent-error-root-10-of-the-value-3-142 or estimate to an exact value. See percentage change, difference and error for other options. How to Calculate Here is the way to calculate a percentage error: Step 1: Calculate the error (subtract one value form the other) ignore any minus sign. Step 2: Divide the error by the exact value (we get a decimal number) Step 3: Convert that to a percentage (by percent error multiplying by 100 and adding a "%" sign) As A Formula This is the formula for "Percentage Error": |Approximate Value − Exact Value| × 100% |Exact Value| (The "|" symbols mean absolute value, so negatives become positive) Example: I thought 70 people would turn up to the concert, but in fact 80 did! |70 − 80| |80| × 100% = 10 80 × 100% = 12.5% I was in error by 12.5% Example: The report said percent error pi the carpark held 240 cars, but we counted only 200 parking spaces. |240 − 200| |200| × 100% = 40 200 × 100% = 20% The report had a 20% error. We can also use a theoretical value (when it is well known) instead of an exact value. Example: Sam does an experiment to find how long it takes an apple to drop 2 meters. The theoreticalvalue (using physics formulas)is 0.64 seconds. But Sam measures 0.62 seconds, which is an approximate value. |0.62 − 0.64| |0.64| × 100% = 0.02 0.64 × 100% = 3% (to nearest 1%) So Sam was only 3% off. Without "Absolute Value" We can also use the formula without "Absolute Value". This can give a positive or negative result, which may be useful to know. Approximate Value − Exact Value × 100% Exact Value Example: They forecast 20 mm of rain, but we really got 25 mm. 20 − 25 25 × 100% = −5 25 × 100% = −20% They were in error by −20% (their estimate was too low) InMeasurementMeasuring instruments are not exact! And we can use Percentage Error to estimate the possible error when measuring. Example: You measure the plant to be 80 cm high (to the nearest cm) This means you could be up to 0.5 cm wrong (the plant could be between 79.5 and 80.5 cm high) So
the value 3.142?UpdateCancelAnswer Wiki1 Answer Bhava Nath Dahal, Breaking Classical Rules in Trigonometry- 5 new methods & higher-degree equationWritten 3w agoWe do not use [math]\sqrt {10}[/math] as value of [math]\pi[/math] nowadays.I have not seen any case, except one example in Suryasiddhanta using value of [math]\pi[/math] as [math]\sqrt {10}[/math]. Suryasiddhanta, in Madhyamadhikar Chapter, tells it as a sthool (approximate) value, whereas Suryasiddhanta itself used value of [math]\pi[/math] as 3438 in all cases of Spastadhikar (real) values. Radius 3438 for a circle having 21600 is accurate almost 5-decimal places. It gives detail of calculation of Sine Table based on radius of 3438 having 24 Jya. In 4th-6th Century around, it was great discover.This sthool (approximate) value of [math]\sqrt {10}[/math] as value of [math]\pi[/math] is somewhat 6.5% error with its real value. Better to remind again, [math]\sqrt {10}[/math] as value of [math]\pi[/math] has not used for mathematical calculation rather just for discussing approximation.46 ViewsView More AnswersRelated QuestionsHow is this so: [math]sin(10^3) = sin(10^4) = sin(10^5) = sin(10^6)[/math] [math]= sin(10^7) = sin(10^8) = sin (10^9)[/math]?In the vibration equation sin (15pi .t-pi/3), is it right I use 3.142 for the value of pi?Is pi no longer 3.142? What will be the maximum value of [math]\theta[/math] until the approximation [math]\sin{\theta}[/math] is approximately equal to [math]\theta[/math] that holds within 10% error?If [math]\sin x + \sin^2 x = 1[/math], then what is the value of [math]\cos^{12} x + 3 \cos^{10} x + 3 \cos^8 x + \cos^6 x[/math]?Is pi equal to 22/7?What is the value of [math]\sin \frac{4\pi }{3}[/math]?What is the value os Cos-¹ (-3/2).?How do I find the value of [math]4^{3/2}[/math]?Why is the value of pi 3.14?What is exact value formula of cos(x/3)?Why we take value of π=3.14?Is it a coincidence that pi is close to the square root of 10?How can you figure out tanθ = -1/root(3) without a calculator?How do I solve square root of 3 [sin^2(45°)] - sin (90°-θ) = 0?If [math]a^3 + b^3 = 2 [/math], then what is the maximum value of [math]a+b[/math]?How could one probe that the square root of (1-cosx) / (1+cosx) = absolute value of tan(x/2)?Is it possible to computationally calculate the distance between 2 points without square roots or trigonometry?Why is 3.14 frequently used as the value of Pi, and not 22/7? Wouldn't it affect the correctness of the value?If cotΘ-cosΘ/cotΘ+cosΘ=2-√3/2+√3 and 0<Θ<90°,then what is the value of Θ?Related QuestionsHow is this so: [math]sin(10^3) = sin(10^4) = s