find the arc length of the partial circle.
length is 1.
**See attached photo**

Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90°
To find the arc length of the quarter circle:
[tex]$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)[/tex]
[tex]$=2 \times 3.14 \times 1\left(\frac{90^\circ}{360^\circ}\right)[/tex]
[tex]$=2 \times 3.14 \times 1\left(\frac{1}{4}\right)[/tex]
Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.