Some mathematical problems that feature pi are the area of a circle, a circle's circumference, arc length and the different surface area and volume formulas for a cone, sphere and cylinder. In mathematics, the ratio between a circle's circumference and diameter is given as pi.Continue Reading
While the circle's circumference is given by the formula 2 x radius x pi, its area formula is pi x radius squared. Similarly, many of the area and volume formulas for different geometric solids were formulated with pi as a term in them. For example, the area of a sphere is 4 x pi x radius squared, and its volume formula is 4/3 x pi x radius cubed.
The history of pi dates back to the ancient Babylonians and Egyptians. Babylonians estimated pi as 3.125, and the Egyptians approximated pi to be 3.1605. However, it was the Greek mathematician Archimedes that calculated pi to be between 223/71 and 22/7. A general estimate for pi is 22/7 or 3.14.
In 1706, William Jones was the first to introduce a Greek letter for pi, which was later adopted by the mathematician Euler to represent the ratio between a circle's circumference to its area. Later mathematicians extended the number of decimal places in this irrational number through rigorous calculations. In the computer age, pi has been estimated to its two-quadrillionth digit.Learn more about Arithmetic
The surface area of a cylinder is equal to the sum of the surface area of the circles on either end and the surface area of the side. The surface area of the side is equal to the product of the circumference of the circles at either end and the height of the cylinder.Full Answer >
Pi is used to find the circumference and area of a circle. It is also used to find the volume and surface area of a sphere, cone and cylinder. Pi has applications that go beyond geometry as well, such as statistics and probability.Full Answer >
One can calculate the diameter of a circle mathematically if the circumference or the area of the circle is known. If the location of the center of the circle is known, then the circle's diameter can be measured with a ruler passing through the center.Full Answer >
If the circumference or the area of a circle is known, pi can be used to find the diameter and the radius of that circle. Likewise, if the radius or diameter is known, pi can be used to find out the circumference or the area.Full Answer >