Hey there!
Answer:
240π or 753.6 meters traveled.
Step-by-step explanation:
To solve this problem, first solve for the circumference of the wheel:
C = dπ
C = 2π or ≈6.28 m.
If the wheel rotates 120, then:
D = 2π × 120 = 240π
or
D = 6.28 × 120 = 753.6 m traveled.
m<A = 30 degrees.
m < C in triangle ABC = m < C in EDC so
x + 13 + 42 + x + 13 = 180
2x = 180 - 13 - 13 - 42
2x = 112
x = 56.
So m < C = 56+13 = 69.
m < B = m < D = 81
M < A = 180 - 69 - 81
= 180 - 150 = 30.