need help on precalculus

Answer:
arc = 15π
Step-by-step explanation:
The arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{225}{360}[/tex] ( r is the radius )
given diameter = 24 then r = 24 ÷ 2 = 12
arc = 2π × 12 × [tex]\frac{5}{8}[/tex]
= 24π × [tex]\frac{5}{8}[/tex]
= 3π × 5
= 15π