Measurement of the New Angle A

[nycmathguy]

Set 6.1
David Cohen

 

[MathLover1]

s=arc length (in radians)
r=radius
theta=central angle in radians

if s=1ft, r=1ft
1ft=2pi*1ft(theta/360)
1ft/(2pi*1ft)=theta/360
1/2pi=theta/360
360/2pi=theta

theta=57.3radians
theta=43°

 

[nycmathguy]

s=arc length (in radians)
r=radius
theta=central angle in radians

if s=1ft, r=1ft
1ft=2pi*1ft(theta/360)
1ft/(2pi*1ft)=theta/360
1/2pi=theta/360
360/2pi=theta

theta=57.3radians
theta=43°

I tried solving this one for a while before posting here.