ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Additional Topics in Math Videos 32 videos

Calculating the Bisector Length of a Square
2 Views

The figure above is a square with a side length of . What is the length of ?

Finding the Sum of Complex Numbers
5 Views

If , what is the sum of the complex numbers above?

Using the Relationship Between Trigonometric Functions
6 Views

If sin[(18d + 12)°] = cos[(7d – 22)°], what is the value of d?

See All

SAT Math 10.2 Geometry and Measurement 198 Views


Share It!


Description:

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

Language:
English Language

Transcript

00:02

Here’s your shmoop du jour, brought to you by the wheel.

00:06

The second best invention of all time, after that “upright sleeper” we bought from SkyMall.

00:11

A wheel with a diameter of 12 inches makes four rotations.

00:15

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

00:19

Use 3.14 for pi and round to the nearest whole number, measured in inches.

00:28

Hopefully our destination isn’t too remote, because with our wheel only making

00:31

4 rotations, it doesn’t appear we’re going very far.

00:34

So… our wheel…we’ll call it a circle for practical purposes…

00:36

…has a diameter of 12 inches.

00:39

We know the circumference of a circle is diameter times pi, and we’re told to just round pi

00:46

down to two decimal places…

00:48

…so…we get 12 times 3.14 comes out to 37.68 inches.

00:54

But that’s just the distance around the edge of the wheel for ONE rotation.

00:58

We’re spinnin’ this bad boy around FOUR times…

01:01

...so 37.68 times 4 is 150.72 inches…

01:07

…now we round to the nearest whole number, and we come out with 151 inches

01:12

Sheesh, that was a lot of effort just to move forward a few yards.

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...