Answer:
Part 1) The exact value of the arc length is
Part 2) The approximate value of the arc length is
Explanation:
step 1
Find the circumference of the circle
The circumference of a circle is equal to
we have
substitute
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
step 3
Find the approximate value of the arc length
To find the approximate value, assume
substitute