a=2Rsquare root 2 show how this relation is being derived
One way to derive this relation is by using the Pythagorean theorem for a right triangle.
Let's consider a right triangle with one leg of length "a" and the hypotenuse of length "2R". By the Pythagorean theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs:
(2R)^2 = a^2 + a^2
4R^2 = 2a^2
R^2 = a^2/2
a = 2R√2
Therefore, the relation a = 2R√2 can be derived from the Pythagorean theorem for a right triangle.