Answer:
428.7 mm²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{170}{360}[/tex]
= π × 17² × [tex]\frac{17}{36}[/tex]
= 289π × [tex]\frac{17}{36}[/tex]
= [tex]\frac{289(17)\pi }{36}[/tex] ≈ 428.7 mm²
