Question

find the length of the arc intercepted by an angle of 36° in a circle with radius 12 inches

Answer 1

Set up a pair of proportional ratios...

a/(2πr)=α/360

a=(πrα)/180, we are given that r=12 and α=36° so

a=432π/180 in

a=12π/5 in

a=2.4π in

a≈7.54 in (to nearest one-hundredth of an inch)