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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 8.1 Geometry and Measurement 179 Views


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Description:

SAT Math 8.1 Geometry and Measurement

Language:
English Language

Transcript

00:02

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

00:06

We’re still holding onto the patent for handlebar moustaches…

00:09

A bicycle that has tires with a diameter of 26 inches travels 2 miles.

00:13

Approximately how many rotations did each tire make?

00:17

And here are your potential answers…

00:20

Oh, sure… the “bicycle” traveled 2 miles. No one at all was pedaling the dang thing.

00:25

Sheesh…credit where credit is due, guys…

00:27

All right, what have we got here?

00:29

Each tire of our bike has a diameter of 26 inches… well, that should help us find the circumference.

00:37

The formula we’re looking for is 2 pi r… or pi times d, because 2r is d.

00:42

We already have our d… so...

00:44

The perimeter of each tire is 26 pi inches… or 6.8 feet.

00:53

If we weren’t already a metric conversion whiz, the problem tells us that one mile equals 5,280 feet…

01:00

…so if our bike went TWO miles, then it went 10,560 feet. Which is…a lot of feet.

01:08

All right, well… we’ve got our perimeter… now we want to know how many times each tire

01:12

can turn that 6.8 feet over the course of its 2-mile run.

01:16

We take 10,560 divided by 6.8…

01:19

…and get roughly 1,550 rotations.

01:23

Option E.

01:24

Now I suppose you’re going to give the bike all the credit for solving this problem, too, aren’t you?

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