What is the length of arc S shown below? Enter an exact expression in units. The angle in the figure is a central angle in radians.

Step-by-step explanation:
The radius of the circle = 10
The central angle of the arc = 3[tex]\frac{\pi }{2}[/tex]
By formula, S = rΘ
where S is the lenth of the arc
r is the radius of the circle
Θ is the central angle of the arc
substituting the values in the formula, we get
S = rΘ = 10 (3[tex]\frac{\pi }{2}[/tex]) = 15[tex]\pi[/tex] = 47.1