Answer:
[tex]\huge\boxed{\sf S= 7.85 \ cm}[/tex]
Step-by-step explanation:
arc AB = θ = 45 degrees
Radius = r = 10 cm
π = 3.14
Length = S = ?
[tex]\displaystyle S= \frac{\theta}{360} \times 2 \pi r[/tex]
Put the given data in the formula.
Finding arc length.
[tex]\displaystyle S = \frac{45}{360} \times 2(3.14)(10)\\\\S = 0.125 \times 62.8\\\\S= 7.85 \ cm\\\\\rule[225]{225}{2}[/tex]