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

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) = 15 = 47.1

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.