We are looking for a distance, and so we need to calculate the circumference first. The circumference is the distance around the circle.
Circumference formula:
C=2r
Input radius value:
C=2(5)
Simplify:
C=31.414
So, the circle is 31.414mm in length.
Now, we need to find a fraction of this length. Remember, an arc is a fraction of the circle. We know a circle is 360° and the given arc is 232.° So, we can are looking for 232/360 of the circle’s circumference.
Arc length=232/360•31.414
Arc length=20.244
The billed arc length is about 20.244mm.
All we did was take a fraction of the circumference. The fraction was found because we are given 232 degrees out of 360, and degrees form arcs.