Question

Express answer in exact form.

Find the area of one segment formed by a square with sides of 6" inscribed in a circle.

(Hint: use the ratio of 1:1:√2 to find the radius of the circle.)

Answer 1

@saifoo.khan

Answer 2

@iambatman

Answer 3

diameter of the circle is
6×2√

radius of the circle is
r=32√

area of the circle is
πr2=π(32√)2=18π

area of the square is
62=36
difference in the areas is
18π−36
and one fourth of that is
18π−364

Answer 4

since i am assuming that "one segment" means one of those 4 areas, that is your "exact" answer