approximation
a rough calculation of quantity or degree or worth
calculate
make a mathematical computation
Pi has been
calculated to over one trillion digits.
To calculate is to do some arithmetic, like if you calculated that you were three miles from home or owed twenty dollars for dinner plus tip. Besides math, this word is used metaphorically for others kinds of figuring out. Often, calculating is a synonym for thinking. In that figurative sense, calculate has a bit of a heartless connotation. A ruthless, severe person can be described as cold and calculating.
circumference
the length of the closed curve of a circle
The
circumference of a circle is the linear distance around it, and is a special case of perimeter.
constant
a number representing a quantity with a fixed value
Pi is a
constant number, meaning that for a circle of any size the ratio of the circumference to the diameter will be the same.
decimal
a proper fraction whose denominator is a power of 10
Pi can be calculated out to an infinite number of digits beyond the
decimal point, but the first five digits are 3.1415.
diameter
the length of a straight line through the center of a circle
...39 digits are sufficient to perform most cosmological calculations, because that’s the accuracy necessary to calculate the circumference of the observable universe to within one atom’s
diameter. -
Scientific American (Mar 14, 2016)
digit
one of the elements that form a system of numeration
People have enjoyed memorizing the
digits in pi since at least the beginning of the 19th century. Back then only a few hundred
digits were known.
formula
a group of symbols that make a mathematical statement
The
formula for calculating the area of a circle uses π, the mathematical constant.
fraction
a small part or item forming a piece of a whole
π is an irrational number, and cannot be expressed as a common
fraction.
A fraction is a part of something. In math, that means a number such as ¼ or 12/8. When people use the word more loosely, it usually refers to a tiny part of something: just an itty-bitty bit. If a fraction of voters support blowing up the moon, that doesn’t indicate a ton of support, which is understandable, because what did the moon do to anybody?
geometry
the mathematics of points and lines and curves and surfaces
The number pi is used when solving
geometry problems involving circles, spheres and ellipses.
infinite
having no limits or boundaries in time or space
The first written description of an
infinite series that could be used to compute pi was laid out in Sanskrit verse by Indian astronomer Nilakantha Somayaji around 1500 A.D. -
Scientific American (Mar 14, 2016)
An infinite number—like Pi—has no end. You could never get to the end of it, even if you kept counting all day, every day, for the rest of your life. An infinite number, like numbers themselves, never ends, man. The noun form is infinity, which can apply to anything without an end or limit. The upcoming superhero blockbuster
Avengers: Infinity War is named for the Infinity Gauntlet, a glove-like weapon that gives the wearer limitless power and is on my Christmas list.
irrational
a number that cannot be expressed as a quotient of integers
...pi is an
irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). -
Scientific American
mathematician
a person skilled in the logic of quantity and arrangement
The symbol π was adopted in 1706 by British
mathematician William Jones and was made popular by Swiss
mathematician Leonhard Euler in 1737.
pi
the ratio of the circumference to the diameter of a circle
Pi (π) is the ratio of a circle’s circumference to its diameter.
radius
a straight line from the center to the perimeter of a circle
Pi also appears in the calculations to determine the area of an ellipse and in finding the
radius, surface area and volume of a sphere. -
Scientific American (Mar 14, 2016)
ratio
the relative magnitudes of two quantities
The
ratio has been calculated to over one trillion digits beyond the decimal point.
value
a numerical quantity measured or assigned or computed
Our world contains many round and near-round objects; finding the exact
value of pi helps us build, manufacture and work with them more accurately. -
Scientific American (Mar 14, 2016)
transcendental
existing outside of or not in accordance with nature
Pi also opens a window into a more uncharted universe, the one consisting of
transcendental numbers, which exclude such common irrationals as square and cube roots. -
New York Times (Mar 13, 2015)
random
lacking any definite plan or order or purpose
So what use have all those digits been put to? Statistical tests have suggested that not only are they
random, but that any string of them occurs just as often as any other of the same length. -
New York Times (Mar 13, 2015)
integer
any natural number or its negative, or zero
At some point in your life, you were most likely taught how to round
integers and decimal numbers to some specified number of digits or decimal places.
Scientific American (Dec 18, 2013)
Fractions are parts of numbers, but plenty of numbers are whole and complete, thank you very much. A fancy math term for a whole number is integer. 34 is an integer, but ¾ is not. Whole doesn’t have to mean positive: -34, -9000, and -2 are all integers too.