Question

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

Answer 1

The hardest part is always the set up

so from the diagram you can see that the diagonal of the square, is the same as the diameter of the circle.

you can get the diagonal by using pythags theorum. then halve it to get the radius and use that to get the area of the circle. Now the difference between the area of the circle and the area of the square will be the outside bits.



ive shaded them badly here.

so

area of circle - area of square = 4 segments

divide this by 4 to get the area of 1 segment