The measure of a central angle in degrees is 11.25°.
<h3>How to get the values?</h3>
The name of the Ferris wheel is London eye
The diameter of the wheel (in meters) is 394
The number of cars or compartments 32
The circumference of the wheel (in meters) 394*pi=1237.78
The area of the wheel (in meters)394/2=197 a=pi*197^2=618.58
The measure of a central angle in degrees will be:
= 360°/Number of the compartment
= 360°/32
= 11.25°
The measure of a central angle in radians will be:
= 2π/Number of compartment
= 2π/32
= π/16 radians
The arc length between two cars or compartments will be:
= π/16 × (394/2)
= π/16 × 197
= 197π/16
= 38.69m
The area of a sector between two cars or compartments will be:
= central angle/360° × π × radius ²
= 11.25/360 × 3.142 × (394/2)²
= 3810.56m²
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