Question

If a central angle of measure 30° is subtended by a circular arc of length 6 meters, as is illustrated below, how many meters in length is the radius of the circle?

Answer 1

the formula for arc length is simply

\[l = \frac{\theta}{360} \times 2\pi r\]

you know l = 6 and theta = 30

substituting anf you get

\[6 = \frac{30}{360} \times 2\times \pi \times r\]

just solve for r