How do you find the apothem of an octagon with the radius of 10?

Question

anonymous · Answer

excuse my ignorance but what is the apothem?

amistre64 · Answer

is the octagon drawn inside or outside of a circle?

amistre64 · Answer

its the height of a "face"

anonymous · Answer

an apothem is a line drawn from the center of the shape to the outside.  Like a radius of a circle.

amistre64 · Answer

its perp to the edge

amistre64 · Answer

anonymous · Answer

ok ty

amistre64 · Answer

the thing is; is this radius of a circle drawn insid the shape of outside the shape?

inside would mean the apothem = radius

amistre64 · Answer

outside woud be the sin of an interior angle

amistre64 · Answer

360/8 = 45 degrees as a central angle and each 'other' angle of the is (180-45)/2

anonymous · Answer

Well, we're assuming that the octagon has all angles equalling 360 degrees.

amistre64 · Answer

your apothem = r sin[(180-45/2)]

amistre64 · Answer

im assuming a circle divide into 8 pieces has central angles of 45 degrees :)

amistre64 · Answer

an isoceles triangle with a top angle of 45 has 67.5 as its two bottom angles

anonymous · Answer

Okay, I think I get it.  Thank you amistre64.

amistre64 · Answer

youre welcome :)

anonymous · Answer

You are a goooooood person to help me.  :)

amistre64 · Answer

:)  as long as I can understand the questions lol

anonymous · Answer

:)

amistre64 · Answer

9.24 or so...

anonymous · Answer

thank you a million times