Pi On A Calculator (1 Viewer)

[Absolutezero]

Throughout high school I used a fairly standard CASIO calculator, which had a scene which could hold up to around 70 digits when entering equations. However, answers also rounded to 9 decimal points. Hence, "Pi =" yielded the answer:

3.141592654

Does this mean if I used a closer approximation of Pi when I enter the equations, say "3.1415936535897932" it will be more accurate? Or, does the calculator estimate Pi to the full 70 places available? Or More?

 

[Fortify]

No it does not; I think it rounds off the number once its past 10 digits. So 3.1415926535... will round to what "Pi" is set on the calculator (3.141592654).

 

[Absolutezero]

Of course, because any answer given is only available to be given to 10 places.

 

[Fortify]

That is true; unless you have a calculator which will display more than 10 numbers otherwise there's not much anyone can do about it.

 

[kurt.physics]

Does this mean if I used a closer approximation of Pi when I enter the equations, say "3.1415936535897932" it will be more accurate? Or, does the calculator estimate Pi to the full 70 places available? Or More?

No... because pi is 3.1415926535897932 =P

 

[Templar]

For standard CASIO calculators with 12 digit mantissa (display) the memory stores 15 digits, so the calculator does store more than it can display, but not to the extent of 70 digits. This is to avoid rounding errors in most cases.

Having accurate up to the 10th decimal place is already sufficient for practically all physical applications. It means being able to calculate the circumference of the earth to the exact centimetre.

 

[Absolutezero]

No... because pi is 3.1415926535897932 =P

Purely a typographical error. I know it to more than I posted.

already sufficient for practically all physical applications.

True. I was just coming at it from a pure "Appreciating the Beauty and Elegance" perspective.

 

[kurt.physics]

Purely a typographical error. I know it to more than I posted.

As do I

 

[Templar]

True. I was just coming at it from a pure "Appreciating the Beauty and Elegance" perspective.

Then , since you can never express it in decimal form. You should always use the symbol rather than 3.14159...

 

[pman]

if you have pi to 15 DP you can calculate the diameter, radius or circumference of any circle (no matter how large) to within one hydrogen atoms size, so realisticly, 10 dp is all you need

 

[yuri_gagarin]

nerdlingers

 

[annabackwards]

if you have pi to 15 DP you can calculate the diameter, radius or circumference of any circle (no matter how large) to within one hydrogen atoms size, so realisticly, 10 dp is all you need

Cool fact ^^

 

[Fortify]

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412732458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061717766914730359825349042875546873115956286388235378759375195778185778053217122680661300192787661119590921642019893809525720106548586327886593615338182796823030195203530185296899577362259941389124972177528347913151557485724245415069595082953311686172785588907509838175463746493931925506040092770167113900984882401285836160356370766010471018194295559619894676783744944825537977472684710404753464620804668425906949129331367702898915210475216205696602405803815019351125338243003558764024749647326391419927260426992279678235478163600934172164121992458631503028618297455570674983850549458858692699569092721079750930295532116534498720275596023648066549911988183479775356636980742654252786255181841757467289097777279380008164706001614524919217321721477235014144197356854816136115735255213347574184946843852332390739414333454776241686251898356948556209921922218427255025425688767179049460165346680498862723279178608578438382796797668145410095388378636095068006422512520511739298489608412848862694560424196528502221066118630674427862203919494504712371378696095636437191728746776465757396241389086583264599581339047802759010

 

[tommykins]

i'd post a million digits but nah

 

[kurt.physics]

i'd post all the digits

 

[tommykins]

zomgah datz lyk impossible!!

 

[kevinx2]

Pi is exactly 3!

 

[Uncle]

BOOM

Your calculator doesn't know what a
sine, cosine, tan, log, exponential, sinh, cosh, tanh or Pi is.
They use a secret called "Taylor's Polynomial".
Because the display can only display up to 10 to 12 digits, they can use sufficient terms to approximate the function to minimise the error and the values appear as if it were exactly the function itself.

Thanks UNSW MATH1231

Pi is exactly 3!

Scientists: *gasp*

 

[tommykins]

Pi is exactly 3!

some fucked up circles