CALCULATIONS

1. Name of the Ferris wheel : The London Eye

2. Diameter of the wheel : 120m

3. # Carts: 32

4. Circumference of the wheel:

C= 2pi(r)

C= (2)(3.14)(60)

= 376.99



5. Area of the wheel:

A= pi(r)^2

A= (3.14)(60)^2

= 11309.73

　



6. Measure of a central angle in degrees:

360 / 32 = 11.25 degrees

7. Measure of a central angle in radians:

11.25 - pi/180

=11.25pi/180

reduce

= 0.19634954 radian

　


8. Arc length between two cars or compartments :

2pi r(x) / 360
2pi (60)(11.25) /360 = 11.78


9. Area of a sector between two cars or compartments : pi r^2(x) / 360
pi (60^2)(11.25) / 360 = 353.43