Question

Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long.

Answer 1

you'll note that it splits the angles in two. We can solve for the radius using trig. We have a 30-120-30 triangle:

sin(30)=r/18

18sin(30)=r=9

We can now solve for the circle are:

Area=πr2=π(9)2=81π=

Answer 2

That last part should say = 254.47

Answer 3

you can find the area of each segment using A = 0.5 r^2 A - area of triangle where A = pi/3 radians
area of triangle = 0.5*18^2 sin pi/3

Answer 4

thx guys appreciated it :)

Answer 5

yw