An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. what is the measure of the angle? round your answer to the nearest tenth. 0.4 radian 1.0 radian 2.7 radians 5.0 radians

The ratio of the measure of the arc length and the circumference is proportional to the measure of the intercepted angle and one whole revolution. If we let x be the measure of the intercepted angle in degrees, the equation will become,

                                        x/360 = 8 in/(2π(3 in))

The value of x from the equation when π = 22/7 is 152.72°.

To convert this value to radians, we use the dimensional analysis as shown below,
                                  in radians = (152.72°)(2π/360°)
                                  in radians = 2.7 radians

Thus, the answer is third choice. 

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