Answer: 102.9 m
Step-by-step explanation:
First, use Pythagorean to find the length of AC
AB² + AD² = AC²
50² + 80² = AC²
2500 + 6400 = AC²
8900 = AC²
94.34 = AC
Next, subtract 15 (the diameter of the circle) from AC to find the length of the straight line.
94.34 - 15 = 79.34
Next, find the circumference of the circle
C = πd
C = 15π
They are only walking around 1/2 of the circle so divide it by 2.
(1/2)C = (15/2)π
≈ 23.56
Add the straight line (79.34) and the half circumference (23.56) to find the total distance traveled.
79.34 + 23.56 = 102.9
