Answer:
403π/9 or 140.67
Step-by-step explanation:
First, you have to find the circumference of the circle
Circle circumference equation:
Circumference = dπ (Circumference = diameter x pi)
You have a radius of 31 which is equal to 62 diameter (diameter is double the radius)
So:
C = 62π
Now, you need to know that a full circle is 360 degrees and we want only 200 degrees of that,
So in other words, you want 200/360 of the circle's circumference.
You can find the measure of the 200 degree arc by doing
62π x [tex]\frac{200}{360}[/tex] = [tex]\frac{403pi}{9}[/tex] or 140.67
