Welcome to MathSpark — a simple mathematics blog covering algebra, calculus, geometry, number theory and mathematical puzzles.
Start learning →π is the ratio between the circumference of a circle and its diameter.
An important property of π is that it is irrational, meaning its decimal expansion never terminates or repeats.
A derivative measures how quickly something changes. For a function f(x), we write its derivative as:
For example:
Zero is more than simply "nothing". It is essential to our number system and allows place-value notation to work.
Imagine cutting a circle into many thin slices and rearranging them.
As the slices become thinner and thinner, their shape approaches a rectangle.
The circumference of the circle is 2πr, and half of that is πr. The radius provides the other dimension, giving:
If:
What is x?