Answer:
The exact length of arc is π m
Step-by-step explanation:
In the given figure, we need to find length of arc AB
Formula:
[tex]\theta(\text{In radian})=\dfrac{\text{Length of arc}}{\text{Radius}}[/tex]
First we will change degree to radian
[tex]Radian=\dfrac{degree}{180^\circ}\times \pi[/tex]
[tex]Radian=\dfrac{45^\circ}{180^\circ}\times \pi=\dfrac{\pi}{4}[/tex]
Radius (r) = 4 m
[tex]\dfrac{\pi}{4}=\dfrac{l}{4}[/tex]
[tex]L=\pi[/tex]
The length of arc AB is π m
Hence, The exact length of arc is π m
