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Geometry and Measurement Videos 88 videos

SAT Math 1.1 Geometry and Measurement
719 Views

SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?

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 2.3 Geometry and Measurement
267 Views

SAT Math 2.3 Geometry and Measurement. Find the length of AB.

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SAT Math 10.2 Geometry and Measurement 198 Views


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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.

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