Expert: Socrates - 7/18/2011

Question
1.r=17.2in, θ= π/3
3.r=12.78in,θ= 72°
5.s=5.0 m,r=20.0 m
7.s=36.8 yd,r=23.4 yd
i need help please!!!

Answer
s=rθ , where θ is the radian measure of the angle , r is the radius and s is the arc length


1)
s = (17.2)(π/3) = (17.2)(1.04719755)= 18.01 inches



3)
You must convert 72° into radians. To do this , multiply degrees by π/180 = .0174532925

(72)(.0174532925) = 1.25663706 radians

s = (12.78)(1.25663706 ) = 16.0598216 inches


5)

5 = (20) (θ)

θ = 5/20 = .25 radians


7)

36.8 = (23.4)(θ)

θ = 36.8 / 23.4 = 1.57264957 radians