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(09.04 MC)
A carnival ride is in the shape of a wheel with a radius of 25 feet. The wheel has 20 cars attached to the center of the wheel. Use 3.14 for pi and round answers to the nearest hundredth, if applicable.

a.) What is the measure of each central angle between any two cars? (4 points)

b.) What is the arc length of each sector between any two cars? (4 points)

c.) What is the area of each sector between any two cars? (4 points)

Respuesta :

abiolataiwo2015

The each central angle between any two cars is 0.39; the arc length of each sector between any two cars is 7.85 ft; The area is 98ft².

Arc length

a. Central angle between any two car

Central angle= 2π/20

Central angle= π/10 radians

Central angle= 0.31 radians

B. Arc length

s = rθ

Where:

r = 25 feet

θ = π/10 radians

Hence:

s = 25×π/10

s= 7.85 ft

C. Area of sector

Area= 0.5×r²×θ

Area= 0.5×s×r

Area= 0.5×7.85×25

Area= 98ft²

Therefore the each central angle between any two cars is 0.39; the arc length of each sector between any two cars is 7.85 ft; The area is 98ft².

Learn more about arc length here:https://brainly.com/question/2005046

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