Question

100 points please help!

Answer 1

The measure of a central angle in degrees is 11.25°.

How to get the values?

The measure of a central angle in degrees will be:

= 360°/Number of 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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