Pi Equations Math

To learn how to calculate pi using a limit or sine function keep reading the article.

Pi equations math. The circumference of a circle is slightly more than three times as long as its diameter. The truth behind the name however is based on the most beautiful equation in mathematics. E pii 1 0. By measuring a circle and by solving a mathematical equation.

We ll look at two different ways to calculate pi. π is commonly defined as the ratio of a circle s circumference c to its diameter d. Pi 3 14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 06647 09384 46095 50582 23172 53594 08128 48111 74502 84102 70193 85211 05559 64462 29489 54930 38196 44288 10975 66593 34461 28475 64823 37867 83165 27120 19091 45648 56692 34603 48610 45432 66482 13393 60726 02491 41273 72458 70066 06315 58817 48815 20920 96282 92540 91715 36436 78925 90360 01133 05305 48820 46652 13841 46951 94151 16094 33057. Displaystyle pi frac c d pi is equal to the circumference divided by the diameter.

Pi is intimately related to the properties of circles and spheres. Displaystyle pi frac c d where c is the circumference of a circle d is the diameter. Displaystyle pi frac c d the ratio c d is constant regardless of the circle s size. Just divide the circumference by the diameter to calculate pi.

Pi is an endless string of numbers pi or π is a mathematical constant. π c d. Round your answer to the nearest thousandth. Pi is an irrational number a number with an unending string of non repeating digits after the decimal point.

But as you can see 22 7 is not exactly right. The exact ratio is called π. A really good approximation better than 1 part in 10 million is. Displaystyle a pi r 2 where a is the area of a circle and r is the radius.

Displaystyle v 4 over 3 pi r 3 where v is the volume of a sphere and r is the radius. It is the ratio of the distance around a circle to the circle s diameter. While it has been calculated to more than 10 trillion places most of the time just a few decimal places will do. Among others these include series products geometric constructions limits special values and pi iterations.

Once you ve got the circumference and diameter plug them into the formula π c d where π is pi c is circumference and d is diameter. In fact π is not equal to the ratio of any two numbers which makes it an irrational number. π c d. For a circle of radius r the circumference and area are given by c 2pir 1 a pir 2.

A quick and easy approximation for π is 22 7.