Answer:
135°
Step-by-step explanation:
The arc length is calculated as
EF = circumference of circle × fraction of circle
= 2πr × [tex]\frac{?}{360}[/tex]
Given EF = 12π , then
2π × 16 × [tex]\frac{?}{360}[/tex] = 12π ( divide both sides by 2π )
16 × [tex]\frac{?}{360}[/tex] = 6 ( multiply both sides by 360 to clear the fraction )
16 ? = 2160 ( divide both sides by 16 )
? = 135°
