Question

I need help on this ASAP.

Answer 1

The seattle great wheel is an illustration of sectors, arcs, circumference and area of circles

The circumference of the wheel

The diameter is given as:

d = 175 feet

The circumference (C) is calculated as:

C = πd

This gives

C = 3.14 * 175

C = 549.5 feet

Hence, the circumference of the wheel is 549.5 feet

The area of the wheel

This is calculated as:

A = π(d/2)^2

This gives

A = 3.14 * (175/2)^2

A = 24040.625

Hence, the area of the wheel is 24040.625 square feet

The central angle (degrees)

This is calculated as:

θ = 360/n

Where n is the number of capsules

So, we have:

θ = 360/42

This gives

θ = 8.57 degrees

Hence, the central angle of the wheel in degrees is 8.57

The central angle (radians)

This is calculated as:

Radians = Degrees × π/180

So, we have:

θ = 360/42 * π/180

This gives

θ = π/21 rad

Hence, the central angle of the wheel in radians is π/21 rad

Arc length between two capsules

This is calculated as:

L = θ * d/2

So, we have:

L = π/21 * 175/2

This gives

L = 175π/42

Hence, the arc length between two capsules is 175π/42

Area of sector between two capsules

This is calculated as:

A = 0.5 * (d/2)^2 * θ

So, we have:

A = 0.5 * (175/2)^2 * π/21

This gives

A = 168π

Hence, the area of sector between two capsules is 168π

Read more about sector areas and arc lengths at:

brainly.com/question/4115882