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SAT Math: Working Backwards from a Given Arc Length to Find a Circle's Diameter 5 Views


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Description:

On a circle, measures 6π meters. If this arc is half the distance around the circle, how many meters is the circle's diameter?


Transcript

00:03

Okay it's a trig shmoop er's Here we go Last

00:06

in this series on a circle A c measures six

00:10

py meters If this arc is half the distance around

00:14

the circle how many need er's is the circle's diameter

00:21

Okay Interesting Well how unfortunate that there are no figures

00:25

to which we poor budding mathematicians can refer well it

00:28

doesn't really matter The ark is half the distance around

00:31

the circle So it's half the circumference right So we've

00:35

got point five see equals six pie because they gave

00:40

us that right All right so then the circumference here

00:43

is twelve pie Well now that we have that the

00:45

diameter is easy As what Okay circumference is two pi

00:50

r twelve pi equals two pi r So six is

00:54

are in the diameter is twice the radius right Just

00:56

two are so we can multiply our radius there of

00:59

six by two and we get that the diameter is

01:02

twelve meters Well another way to look at this conference

01:04

formulas to just say that it's pai d instead of

01:07

two pi r because well that's the same thing And

01:10

you got to read all this carefully because they throw

01:13

curve balls at you all the time anyway All right 00:01:15.536 --> [endTime] we're done Yeah

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