Question

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.
(Question 1)
A)I want to know the distance around the Ferris Wheel. Would I use Circumference or Area?

B)What is the formula needed to solve this problem?Look in your notes!

C)What is the distance traveled in one rotation? Explain how you used the formula to solve the problem.
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(Question 2)
The Atlanta Traffic Commission needs to know how much space the Ferris Wheel takes up.

A)What is the AREA formula for a circle?

B)Show your work to find the AREA of the Ferris Wheel. Don't forget to add your square units!

Answer 1

Answer:

Question 1: A)we need to use the CIRCUMFERENCE.

B) Circumference of a Circle  = 2 π R

c)The distance traveled in 1 rotation  =  628 ft

2(a)AREA of a CIRCLE   = π  R²

(b)Area the wheel takes up is 31,400 sq ft

Step-by-step explanation:

Question 1:

Diameter  = 200 ft

Now,as Diameter = 2 x Radius

So, R  = D/2 =200/2 = 100 ft

A) Distance around the wheel = The length of the boundary of the wheel.

So, we need to use the CIRCUMFERENCE.

B) Circumference of a Circle  = 2 π R

Here R = Radius and use π =  3.14

C) The distance traveled in 1 rotation = 1 completer length of  boundary

Now, Circumference  = 2 π R = 2 x (3.14)  x (100 ft)  = 628 ft

Question 2:

A) Space the Ferris Wheel takes up   = Area of the wheel

AREA of a CIRCLE   = π  R²

B) AREA of a CIRCLE   = π  R²

=  (3.14) (100 ft ) (100 ft)  = 31,400 sq ft

So, the area the wheel takes us is 31,400 sq ft