Respuesta :
Answer:
The total path traced by the inside front wheel in one trip around the circle = k·π , where k = 12 is an integer
Step-by-step explanation:
To find the distance traced by the wheel around the circle, we need to find the circumference which is given by : 2π·r
Now, let radius of inside wheel be r feet
⇒ radius of outside wheel = (r + 6) because the inside wheel is 6 feet apart from the outside wheel.
Now, the inside wheels are rotating at half speed as compared to that of outside wheels.
⇒ 2×Circumference of inside wheel = Circumference of outside wheel
⇒ 2×(2π·r) = 2π × (r+6)
⇒ 2π· r = π· r + 6·π
⇒ π·r = 6·π
⇒ r = 6
Hence, the total path traced by the inside front wheel in one trip around the circle = 2π·r
= 2π × 6
= 12·π
= k·π , where k = 12 is an integer
