Answer:
circumference = 376.99m
area = 11,309.73m²
the central angle = 11.25°
arc length = 11.78m
area of sector = 353.43 m²
<h3> </h3><h3>
Step-by-step explanation:</h3>
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
<h3>
½ r² ∅</h3>
<em>where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle</em>
180° = π
11.25 = π(11.25)/180° (degree to radians)
= π/16
1/2 (60)²(π/8)
= 353.43 m²
