Answer:
27 inches
Explanation:
Circumference = π X D (D = diameter = 2 X radius)
Length of arc = (angle / 360) X circumference of circle
call radius r
circumference = 2πr
arc length = (80/360) X 2πr
12π = (80/360) X 2πr
2πr = (12π )/ (80/360)
= 54π.
so 2πr = 54π.
divide both sides by 2π:
r = 27 inches