Final answer:
The radius of the mirror is approximately 5.093 inches.
Step-by-step explanation:
To find the radius of the mirror, we need to use the formula for the circumference of a circle, which is C = 2πr, where C is the circumference and r is the radius.
In this case, we're given that the circumference is 32 inches, so we can plug in the values and solve for the radius:
C = 2πr
32 = 2πr
Divide both sides by 2π:
r = 32 / (2π)
Using a calculator to approximate π, we find that r ≈ 5.093 inches.