Machin-like formulas Taylor-expand the arctangent function to yield one-fourth (*) of this value.
Machin-like formulas Taylor-expand the arctangent function to yield one-fourth (*) of this value. A polynomial function of it is the solution to the Basel problem. The infinite series 1 over n squared yields the square of this number divided by six, and it can be estimated using a surface divided into parallel strips by dropping Buffon's needle. This number in radians is congruent to 180 degrees. Because it's transcendental, squaring the circle is impossible. For 10 points, identify this irrational number, the ratio between a circle's circumference and diameter.
Machin-like formulas Taylor-expand the arctangent function to yield one-fourth (*) of this value.
pi [accept "pi divided by four" or equivalents before (*); if someone starts saying 3.14159265358979232Â…, cut them off quickly by accepting their answer]