Answer:
7.1 cm
Step-by-step explanation:
Since, the arc length formula in a circle formula is,
[tex]l=r\times \theta[/tex]
Where,
r is the radius,
[tex]\theta[/tex] is the central angle ( in radians ) formed by the arc,
Here,
r = 4.5 cm,
[tex]\theta=\frac{\pi}{2}[/tex]
Hence, the arc length would be,
[tex]l=4.5\times \frac{\pi}{2}[/tex]
[tex]=\frac{4.5\times 3.14}{2}[/tex]
[tex]=\frac{14.13}{2}[/tex]
[tex]=7.065\text{ cm}\approx 7.1\text{ cm}[/tex]
