Question

a circle has a radius of 6 in. what is the exact length of an arc formed by a central angle measuring 45 degrees

Answer 1

It is 1.5, you ,might get 3/2, but make sure you divide it to get the answer of 1.5pi. (put the pi sign, not pi)

Explanation:

Answer 2

To answer, determine first the circumference of the circle by the equation,
C = 2πr
Substituting the known values,
C = 2π(6 in.) = 12π in
Then, multiply this calculated value with the ratio of the intercepted central angle to the total revolution.
measure of arc = (12π in)(45°/360°)
measure of arc = 1.5π in
Thus, the measure of the arc is approximately 1.5π in.