Answer:
9.423
Step-by-step explanation:
Using 3.141 as Pi
Using the Arc length equation:
Arc length = [tex]\pi d * angle/360[/tex]
As the angle of the missing section is 90 degrees, and all angles around a point must be 360 degrees, it leaves 360-90 = 270 degrees for the angle.
As the radius is 2, the diameter is twice the length of the radius so 2*2 = 4 so the diameter is 4.
[tex]\pi 4 * 270/360[/tex]
3.141 * 4 = 12.564
270/360 = 0.75
12.564 * 0.75 = 9.423
So 9.423 is the arc length.