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Geometry and Measurement Videos 87 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
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 1.3 Geometry and Measurement
231 Views

SAT Math 1.3 Geometry and Measurement. Find the length of CE.

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SAT Math: Finding the Model for a Running Track Using the Standard Form of a Circle 1 Views


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Description:

The figure above shows a circular running track. The distance from the center of the track to the bleachers is 39 yards, and the distance from the edge of the track to the bleachers is 4 yards. Which of the following equations accurately models the running track if the bleachers are set at (0, 0)?


Transcript

00:00

Yeah Whoa Okay SCT mash members Next up more circles

00:06

for you The figure above shows a circular running track

00:09

like her horses probably The distance from the center of

00:12

the track to the bleachers is thirty nine yards and

00:14

the distance from the edge of the track The bleachers

00:16

is four yards Which falling equations accurately models the running

00:20

track if the bleachers are set at zero zero So

00:25

let's think about this Well to hit the ground running

00:27

with this problem start by labeling the figure using the

00:30

given measurements And that's how it works Right Like that

00:33

Split that thirty nine yards segment into two segments breaking

00:36

it at the point where it touches the edge of

00:37

the circle there And yeah that looks right Thirty five

00:41

and four All right the radius of the circles Thirty

00:42

five Keep in mind the standard form of a circle

00:45

X minus H Y minus K R Yeah Okay And

00:47

H K is the centre right That's the X and

00:49

y coordinate center Well there's no horizontal shift so H

00:53

is zero and K is the vertical coordinate of the

00:55

center point Which means it's the why distance from the

00:58

origin which is zero zero right OK is the distance

01:01

from the bleachers to the centre here which is thirty

01:03

nine We also have to be careful with signs This

01:06

why value is a positive thirty nine So plugging it

01:09

in for K makes that term look like this Why

01:12

minus thirty nine quantity squared Well finally R squared goes

01:15

on the right side of the equation And here that's

01:18

thirty five squared which is twelve twenty five Giving us

01:20

X squared plus quantity Y minus thirty nine quantity squared

01:23

equals twelve twenty five That's the equation of circle Its 00:01:27.79 --> [endTime] answer C lovely Have a fun run

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