Acircle with circumference 8, has an arc with a 288 degree central angle. what is the length of the arc?

We know that
the circumference C=2*pi*r
C=8 units

if 360° (full circle) has a length of> 8 units
 288°> x
x=288*8/360> x=6.4 units

the answer is
6.4 units

length of arc = 6.4 units

Explanation:
The length of the arc can be calculated using the following formula:
length of arc = 2π * radius * 

Taking a look at the equation and comparing it with the given, we would find that:
2π*r is the equation for calculating the circumference.
We are given that the the circumference of the circle is 8 units
theta is the angle subtended by the arc = 288°

Substitute with the givens in the above equation to get the length of the arc as follows:
length of arc = 8 * 
length of arc = 6.4 units

Hope this helps :)

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