Answer:
7.855 inches
Step-by-step explanation:
The formula to find the length of an arc is :
Arc Length = [tex]\frac{\theta}{360}[/tex] × 2 π r
Here,
Θ ⇒ size of the angle ⇒ 30°
r ⇒ radius ⇒ 15 inches
Let us solve it now.
Arc length = [tex]\frac{\theta}{360}[/tex] × 2 π r
Arc length = [tex]\frac{30}{360}*2*\pi*15[/tex]
Arc length = [tex]\frac{30*2*\pi*15}{360}[/tex]
Arc length = [tex]\frac{2827.8}{360}[/tex]
Arc length = 7.855 inches
Let me know if you have any other questions. :)
