Question

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.

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.

Answer 1

Part A) Circumference

Part B) C=π D

Part C) The distance traveled in one rotation is 628.32 feet

Explanation:

Part A) we know that

The distance around the circle is equal to the circumference.

The Ferris Wheel have a circular shape

so

To find out the distance around the Ferris Wheel you should use the circumference

Part B) What is the formula needed to solve this problem?

we know that

The circumference is equal to multiply the number π by the diameter of the circle

so

C=π D

Part C) What is the distance traveled in one rotation?

we know that

One rotation subtends a central angle of 360 degrees

The distance traveled in one rotation is the same that the circumference of the Ferris wheel

we have

`D=200\ ft` ----> diameter of the Ferris wheel

substitute in the formula of circumference

`C=\pi (200)\\C=200\pi\ ft`

assume

`\pi=3.1416\\C=200(3.1416)=628.32\ ft`

therefore

The distance traveled in one rotation is 628.32 feet