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Geometry and Measurement Videos 88 videos

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

SAT Math 1.2 Geometry and Measurement
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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
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SAT Math 2.3 Geometry and Measurement. Find the length of AB.

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SAT Math: Determine the Equation for the Boundary of Smaller Grassy Area in the Running Track Above 0 Views


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Description:

The track from the previous problem consists of three paths, shown above, to allow multiple runners to run on the track without disturbing one another. The shaded region indicates the grassy area where there is no running. The width of each path is 2 yards. What is the equation for the boundary line for the innermost path, indicated by the dark border?


Transcript

00:00

Yeah Whoa Okay I say team Ash jumpers Wow They're

00:05

really into this horse track thinking So we're taking the

00:09

thing from the last problem of thirty nine yards and

00:12

the four there with the bleachers Now we got three

00:13

tracks Okay So the question the track from the previous

00:16

problem consists of three pass shone above here Looks like

00:20

that to allow multiple runners or forces or whatever's on

00:23

their dogs Maybe your turtles to run on the track

00:25

without disturbing one another The shaded region indicates the grassy

00:29

area where there is no running no running allowed The

00:31

width of each path is two yards So what's the

00:34

equation for the boundary line of the innermost path indicated

00:39

by the dark border art So that the boundary line

00:41

that's this thing's way inside here Right on the edge

00:44

All right So what is that equation Well let's see

00:46

We're going to compare this tracks diagram to the one

00:49

we create in the previous problem And it looks like

00:51

this Well let's see two times three is six in

00:54

California and on Jupiter So the inner circle's radius is

00:57

thirty five minus six or twenty nine yards That's this

01:00

thing in the equation of a circle The value on

01:02

the right of the equation is R squared while twenty

01:04

nine squared is eight forty one And the center of

01:07

the track hasn't shifted from the previous problem giving us

01:10

the equation X squared plus quantity Why minus thirty nine

01:13

all squared equals eight Forty one All right well that's

01:16

kind of that It was a little bit dull Yeah

01:18

How do we not square the radius We might have

01:19

been correctly guessed a because while these square rings were

01:23

wrong or could have made some other problems But yeah

01:25

it was kind of big fat disappointment sort of like 00:01:27.92 --> [endTime] our running skills

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