trigonometry the measure in radius

Question

The measure in radians of the central angle of a circle of radius  19 that intercepts an arc of length  93 is  radians.

Answer 1

Hello Aadi,

There's a formula that connects arc length, radius and central angle:

arc length = (radius)* (central angle in RADIANS) ------- Books (or your notes) often have it as s = r*θ

that means: (central angle in RADIANS) = arc length/radius

----> (central angle in RADIANS) = 93/19

You can put it in your calculator to find a numerical value, if that's what the problem is asking you to do.

Cheers.