Answer: π/5 = 36°
Step-by-step explanation:
The formula for the arc length of a circle is: s = r Ф (Ф must be in radians)
Given: s = 10, r = 50
s = r Ф
10 = 50 Ф
(1/5)π = Ф (We include π because it must be in radians)
Convert into degrees using the proportion π = 180°
[tex]\dfrac{\pi}{180^o}=\dfrac{\pi}{5x}\\\\\\5\pi x=180^o \pi\\\\\\x=\dfrac{180^o\pi}{5\pi}\\\\\\x=36^o[/tex]
