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:
![$ \text {Arc length }=2 \pi r\left((\theta)/(360^\circ)\right)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fdxj65xpru0e039bl6njnpx3jw9arjh689.png)
![$=2 * 3.14* 2*\left((270^\circ)/(360^\circ)\right)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lj6vycqwlikhbw0ib7axu40tjat9x3fygw.png)
![$=2 * 3.14* 2*\left((3)/(4)\right)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rd8jr2pda61v5hmahq3srizgkojnpvwrrl.png)
Arc length = 9.42 units
The arc length of the partial circle is 9.42 units.