Im doing a project on the london ferris wheel i know there are 32 carts the diameter is 120m and the radius is 60

im needing showing my work to find the circumference(in meters)
, the area (in meters) , the central angle , arc length, and the area of sector its a big part of my grade and i need explaining

circumference = 376.99m

area = 11,309.73m²

the central angle = 11.25°

arc length = 11.78m

area of sector = 353.43 m²

Given that,

radius of London Ferris = 60m

1)

circumference of London Ferris = 2 π r

                                                       = 2π 60

                                                       = 120π = 376.99m

2)

Area of London Ferris = πr²

                                      = π(60)²

                                      = 3600π = 11,309.73m²

3)

The central angle of London Ferris

Central angles are angles formed by any two radii in a circle. Here, the     angle between two carts is

32 carts ---> 360°

1 cart > 360/32

               = 11.25°

4)

Arc length of London Ferris

An arc is a part of the circumference of a circle. Here we need to find the arc length between 2 carts

360° ---> 2πr

1°      > 2πr / 360

11.25° --->2πr(60)(11.25)/360

11.78m

5)

The area of sector

where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle

180° = π

11.25 = π(11.25)/180°            (degree to radians)

         = π/16

1/2 (60)²(π/8)

= 353.43 m²

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step-by-step explanation:

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