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Converting Between Degrees and Radians 1359 Views
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Description:
If you bake a pie that's 360 degrees...you should probably let it cool down a little. While you're waiting to ingest all those delicious, delicious calories, though, watch this video.
Transcript
- 00:03
converting between degrees and radians a la shmoop
- 00:07
the citizens of Krusty hollow have just finished making the world's largest [Women holding large apple pie]
- 00:12
apple pie unfortunately for them the tempting aroma has attracted the
- 00:16
attention of a handful of giants living on a cloud above them
- 00:20
Tommy, Teddy, Benny, Manny, Gary and Jenny the Giants show up to crash the party [Giants appear]
Full Transcript
- 00:25
and crusty hollow-ites scatter.... to divide the pie evenly Tommy pulls out
- 00:31
his handy-dandy protractor which measures angles in degrees we know that
- 00:36
a circle is 360 degrees if Tommy evenly divides that between he and his five [Circle divided into 5 portions]
- 00:42
friends then each giant gets 1/6 of 360 or 60 degrees of pie... because Giants are
- 00:49
always challenging themselves Tommy wonders if he can convert the
- 00:53
number of degrees in his slice to radians back in giant-high, Tommy learned
- 00:57
that a full circle has two pi radians which is equal to 360 degrees so to
- 01:03
convert from degrees to radians all he has to do is multiply the number of [Conversion of degrees to radians appears]
- 01:06
degrees by pi over 180 remember Tommy slice is 60 degrees so 60 times pi over
- 01:13
180 simplified is the same thing as pi over 3 after gorging themselves on pi 2
- 01:20
of the giants head back into the cloud but right after they leave the remaining [Two giants hop onto cloud and disappear]
- 01:24
Giants discover a second massive pie in the neighboring town of compote hills...
- 01:29
Tommy cuts the pie into 4 even slices each with a measure of pi over 2 radians
- 01:35
then wonders what that would be in degrees well if the number of degrees [Pie divided into 4 sections]
- 01:42
multiplied by pi over 180 gives you the number of radians then what if we flip
- 01:46
the fraction around to get from radians to degrees the formula that Tommy uses
- 01:51
to convert from radians to degrees is the number of radians multiplied by 180
- 01:55
over pi equals number of degrees... so in the equation pi over 2
- 02:00
times 180 over pi the pi in the numerator and the pi in the denominator
- 02:04
cancel out and 180 divided by 2 gives you 90 degrees each slice of pie is pi
- 02:10
over 2 radians or 90 degrees there you go Tommy feels quite satisfied both by [Tommy and giants stood together]
- 02:16
the desert and his formidable algebra skills
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