find the measurment of a 12 ft octagon?

Question

there is a 12 ft circle and im trying to find how to fit an octagon inside it.

Answer 1

I get that the length of each side is (6 sqrt(2-sqrt(2)))
Is that the information you're seeking?

That may not help you complete your homework if you don't know how to derive it.

Answer 2

An octagon has 8 sides. If you divide 360 degrees by 8, you get 45 degrees. So draw a radius and start measuring 45 degree angles going all around the circle from the center. The radii you'll get will intersect the circle. Draw a line segment to connect one of these points with the next all around and you'll have an octagon.

Answer 3

you have 2 ways to do this

find the center of the circle and meausre 45°

every 45° draw a line on that mark, and when you have a total of 8 marks, connect those marks to each mark that is before it and after it.

another way is to measure (1/8) of the circumference, which is

C = pi * d
C = pi * 12
C = 12pi

so

(12pi)/8 = (3pi)/2

so every 1.5pi feet mark a line and do the same as above.