Find the measure in radians of the central angle of a circle with radius of 4 inches and arc length 8 inches. Options are 32, 0.5, 2, or 2pi.

Question

tkhunny · Answer

What is the arc length of the entire circle?

anonymous · Answer

This is all the information given.

tkhunny · Answer

It's a circle of radius 4.

I ask again, what is the arc length of the entire circle?

It doesn't have to be in the problem statement.  You should be able to calculate it with the given information.

anonymous · Answer

Is the arc length of the entire circle 16? (2*8), or 32? (8*4)?

tkhunny · Answer

$2\pi r = 8\pi\;inches$

$\dfrac{8\;inches}{8\pi\;inches} = \dfrac{Internal\;Angle}{2\pi}$