London Eye

1. The London Eye has a radius of 67.5 m. Find the diameter.

2. Calculate the circumference of the wheel.

3. Find the area of the circle formed by the wheel.

4. One full rotation takes 30 minutes. How far does a capsule travel in one full turn?

5. What is the speed (m/min) of a capsule? speed=distancetime\text{speed} = \frac{\text{distance}}{\text{time}}

6. How far does a capsule travel in 10 minutes?

7. If a capsule moves through 90°, what distance does it travel?

8. What angle corresponds to half a rotation?

9. Why is a circle better than a square for a wheel like this?

10. How does the circular shape help with balance and safety?