Answer:
The arc is 6.4 units long.
Explanation:
For a circle of radius R, the circumference is given by:
C = 2*pi*R
If we have a section of this circle defined by an angle θ (such that this section makes an arc), the length of that arc is:
A = (θ/360°)*2*pi*R
and 2*pi*R is the circumference, then we can write the length of the arc as:
A = (θ/360°)*C
qsIn this case, we know that the circumference is equal to 8 units, and the arc has an angle of 288°
Then the length of that arc is:
A = (288°/360°)*C = (288°/360°)*8 = 6.4
The arc is 6.4 units long.
