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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
Full Transcript
- 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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