Geometry Accel 9th Grade Angels/Radians

Question

An angle has an intercepted arc length of 18.6 cm and has a radius of 3 cm. What is the arc measure in radians?

Answer 1

The formula is s = rθ, where s is the arc length, r is the radius, and θ is the radian measure of the central angle.

Plug in the given values and solve for θ.

Answer 2

The equation S = rθ lets you solve this question.

S = arc length (same unit as radius)

r = radius (same unit as arc length)

θ = the angle that intercepts the arc (in radians)

So if S = rθ then θ = S/r = 18.6/3 = 6.2 radians