Answer:
Correct option: c)
radius = 6 inches
Step-by-step explanation:
The complete arc of a circumference has 360 degrees, and the length is 2*pi*radius
Knowing this, we can use a rule of three to solve this problem:
144 degrees - > 15 inches
360 degrees -> 2 * pi * radius
144/360 = 15/(2pi*radius)
2pi*radius = 360 * 15 / 144
radius = 37.5/(2pi)
radius = 5.9683 inches
Rounding to nearest whole number, we have radius = 6 inches
Correct option: c)
