The arc length of the partial circle is 9.42 units.
Solution:
Radius = 2 units
Angle of complete circle = 360°
Angle of cut of portion = 90°
Angle of remaining part of circle (θ) = Complete angle - Cut of portion
= 360° - 90°
= 270°
The value of π = 3.14
Arc length formula:
[tex]$ \text {Arc length }=2 \pi r\left(\frac{\theta}{360^\circ}\right)[/tex]
[tex]$=2 \times 3.14\times 2\times\left(\frac{270^\circ}{360^\circ}\right)[/tex]
[tex]$=2 \times 3.14\times 2\times\left(\frac{3}{4}\right)[/tex]
Arc length = 9.42 units
The arc length of the partial circle is 9.42 units.
