This value relates the width and perimeter of a Reuleaux triangle according to Barbier's Theorem. A spigot algorithm like Rabinowitz and Wagon's can be used to verify the accuracy for estimates of this value. Buffon's needle gives an estimate for this value, which is twice the inverse cosine of zero. The fact that this number is transcendental guarantees there is no solution to the classical problem of squaring a circle. For 10 points, name this mathematical constant, the ratio of a circle's perimeter to its diameter, which approximately equals
This value relates the width and perimeter of a Reuleaux triangle according to Barbier's Theorem. A spigot algorithm like Rabinowitz and Wagon's can be used to verify the accuracy for estimates of this value. Buffon's needle gives an estimate for this value, which is twice the inverse cosine of zero. The fact that this number is transcendental guarantees there is no solution to the classical problem of squaring a circle. For 10 points, name this mathematical constant, the ratio of a circle's perimeter to its diameter, which approximately equals 3.14.
This value relates the width and perimeter of a Reuleaux triangle according to Barbier's Theorem.
pi