posted by rebecca on .
Find the area of the regular polygon. Round your answer to the nearest tenth.
the individual sides are 10 the radius is 13.07
radius to what where with center where?
the 10 is on one of the lines of the polygon then a line from the center
goes from the center to the edge of polygon inside with a doted line
does that help
please help me with this
If your radius is to the corners, then
10 = 2* 13.07 sin (180/n)
sin (180/n) = .382555
180/n = 22.5
n = 8 sides
360/8 = 45 = top angle of each isoceles triangle
half of that has hpotenuse of 13.07 and base of 5
area of each of those 16 triangles = (1/2) (5)(13.07 cos 22.5) = 30.2
16*30.2 = 483
If your radius is to the center of each side then
tan (360/2n) = 5/13.07
180/n = 20.93
n = 8.59 sides
I doubt if that is what it means so use my previous answer.