Answer:
The length of the arc is 1.6 cm
Explanation:
To find the value of the length of the arc, we use the length of arc formula
Mathematically, this is;
theta/360 * 2 * pi * r
where theta is the central angle
In this case pi/4 = 180/4 = 45 degrees
r = 2 cm
So the measure of the length of the arc will be;
L = 45/360 * 2 * 22/7 * 2
= 1/8 * 4 * 22/7
= 22/7 * 1/2 = 11/7 = 1.57 cm which is approximately 1.6 cm