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Learn Geometry - How to Calculate Pi

Learn guitar chords for FREE through our new game Chord Master: Mahalo math expert Julie Clarke shows you how to calculate pi. What Is Pi? --------------------------------------------------------------------- Pi,?represented by the Greek symbol π, is defined as the ratio of the circumference of a circle to its?diameter.c?The circumference is the distance around a circle and the diameter is the distance across a circle.c?For all circles pie represents the same value and this value is used to calculate things like area or volume. The Greek mathematician? Archimedes?was the first to rigorously estimate the value of pi. He accomplished this by relating the?area of a square?to the area of a circle. He then began inscribing many-sided polygons (up to 96 sides) within a circle until the area of the polygon practically filled the area of the circle.?Using this technique, he was able to approximate the value of pi.c Step 1: Calculate Pi's Value --------------------------------------------------------------------- Pi has a single value that can be expressed in both fraction and decimal form. In fraction form, pi equals 22/7. In decimal form, pi equals 3.14.c?Both of these numbers are approximations of pi and do not completely equal its true value. Pi is an irrational number, meaning that it cannot be expressed in fraction (a/b) form, and in decimal form it never actually ends.c?When solving math problems, however, using 22/7 and 3.14 is acceptable. Step 2: Determine Which Form to Use --------------------------------------------------------------------- An instructor may prefer that you use either 22/7 or 3.14 when calculating various geometric functions with pi. Some instructors even let you keep the symbol π in the final answer. Before you start working on problems, make sure you know which form to use so that your final answer is in the form your instructor prefers.c Step 3: Practice Using Pi --------------------------------------------------------------------- Now that you know the value of pi and which form to use, start using pi in various types of problems. These might include determining the area of a circle (πr^2) or the volume of a sphere (4/3πr^3).c? Always make sure to show your work and each step when working with geometric formulas.? Read more by visiting our page at:
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