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 my teacher reassign this one

Answer 1

i wish i knew what "one segment" meant

Answer 2

Saitleite i forgot the answer.

Answer 3

diameter of the circle is the diagonal of the square. since the square has side 6, we know the diameter of the circle is
\[d=6\sqrt{2}\] and so the radius is
\[3\sqrt{2}\]
area of square is 36
area of circle is
\[\pi r^2=\pi (3\sqrt{2})^2=18\pi\]

Answer 4

the diameter of circle is6 sqrt(2) and radius is diameter /2

Answer 5

so we know the area of the square, and we know the area of the circle. if we knew what 'ONE SEGMENT' meant i we would be done

Answer 6

THE ANSWER TO THE QUESTION!

Answer 7

oooooooooooooh maybe it means one of those four parts? not sure, but if it does then answer is
\[\frac{18\pi-36}{4}\]

Answer 8

or if you prefer
\[\frac{18(\pi-2)}{4}=\frac{9(\pi-2)}{2}\] but a picture would really help here.