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.)

help me hero :(

Answer 1

I explained most of this to you before...

Answer 2

really idr my teacher had made me do it over again

Answer 3

your teacher hates you

Answer 4

maybe

Answer 5

diameter of the circle is
\[6\times \sqrt{2}\]
radius of the circle is
\[r=3\sqrt{2}\]
area of the circle is
\[\pi r^2=\pi(3\sqrt{2})^2=18\pi\]
area of the square is
\[6^2=36\] difference in the areas is
\[18\pi-36\] and one fourth of that is
\[\frac{18\pi-36}{4}\]

Answer 6

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