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

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is