ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Circumference Videos 5 videos

SAT Math 8.1 Geometry and Measurement
179 Views

SAT Math 8.1 Geometry and Measurement

SAT Math 1.2 Geometry and Measurement
246 Views

SAT Math: Geometry and Measurement Drill 1, Problem 2. If A = (0, 4), B = (-3, 2), and C = (1, 0), which point is in the interior of angle ABC?

SAT Math 10.2 Geometry and Measurement
198 Views

SAT Math 10.2 Geometry and Measurement. How far does a point on the outside of the circle travel?

See All

SAT Math 11.3 Geometry and Measurement 218 Views


Share It!


Description:

SAT Math 11.3 Geometry and Measurement. How far does a point on the outside of the circle travel?


Transcript

00:02

Here’s your Shmoop du jour, brought to you by the unicycle.

00:06

They're perfect for the person who has great balance and enjoys getting odd looks from strangers.

00:12

A wheel with a radius of 6 inches makes four rotations.

00:16

How far does a point on the outside of the circle travel?

00:20

Use 3.14 for pi and round to the nearest whole number.

00:24

Got it? Let's get to it.

00:26

To figure this thing out, we need to know the circumference of the wheel.

00:30

To calculate the circumference, we multiply pi by the diameter of the circle.

00:35

Since we know the radius of the circle is 6 inches, we can just double that to get the diameter,

00:40

which in this case, is 12 inches. So to get the circumference, we just need

00:44

to multiply 12 inches by pi.

00:47

So let's do it. Twelve inches multiplied by 3.14, gives the wheel a circumference of 37.68 inches.

00:54

But…we’re not done yet.

00:56

The wheel turns four times, so we need to multiply 37.68 by four,

01:02

which will give us the total distance that the wheel travels in four rotations.

01:07

Some quick calculations…and we've got a distance traveled of 150.72 inches.

01:14

Since we’re rounding to the nearest whole number, the answer is 151 inches.

01:19

And one quick note before we ride our unicycle into the sunset…

01:23

To find the circumference of a circle, we can either multiply the diameter of the circle

01:26

by pi, or we can multiply the radius of the circle by pi and then multiply that by two.

01:33

Since the diameter is equal to twice the radius, the answer is the same.

01:38

Alright, now let's hop on that magnificent one-wheeled contraption and…

01:42

…ride like the wind?

Related Videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...

SAT Math: Which Equation Represents Profit?
13 Views

Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...