How do you find the area of a square in a circle?

Answer 1

2 x radius squared

assuming the corners of the square intersect the circle. the length of the sides of the square = (2r)sin45 so the area of the square = ((2r)sin45)e2

sin45 =~.707 (1/2 sq.rt. of 2), squared =0.5

so the equation becomes (2r)e2 x 0.5 or 4 x (r)e2 x 0.5

so 2 x radius squared = area of a square bound by a circle

example: circle 3 inches radius bounds a square what is the area of the square

2 x 3 x 3 = 18 square inches

length of the chords marking the sides of the square is ~4.2426 inches