Functions word problem

Question

A square with side length a is inscribed inside a circle. Denote by  S  the area of the region inside the circle, and outside the square (the shaded region in the diagram).

how would you express S as a function of a?

Answer 1

Determine diagonal of square. This is diameter of circle. Determine radius, Determine area of circle

Determine area of square.

Subtract area of square from area of circle.