Method 1:
The formula for arc length is:
[tex]\frac{AB}{360}[/tex]× 2πr
AB is 45 degrees
r (radius) = 14 cm
^^^Plug this into formula given above
[tex]\frac{45}{360}[/tex] × 2π(14)
[tex]\frac{1}{8}[/tex] × 28π
[tex]\frac{28\pi}{8}[/tex]
[tex]\frac{7\pi}{2}[/tex]
Method 2:
The formula for arc length is:
[tex]\frac{s}{theta} =\frac{r}{1}[/tex]
s is the arc length
r is the radius
theta will be in radians
In this case:
s = unknown
r = 14 cm
theta = 45 degrees (converted to terms of pi: 45 × [tex]\frac{\pi }{180}[/tex] ---> [tex]\frac{\pi }{4}[/tex] )
^^^Plug this into formula given above
[tex]\frac{s}{\frac{\pi }{4}} =\frac{14}{1}[/tex]
Cross multiply
s * 1 = [tex]\frac{\pi }{4}[/tex] * 14
s = [tex]\frac{\pi *14 }{4}[/tex]
s = [tex]\frac{14\pi }{4}[/tex]
s = [tex]\frac{7\pi }{2}[/tex]
^^^This is your arc length
Hope this helped!
~Just a girl in love with Shawn Mendes
