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SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?
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. Find the length of AB.
SAT Math: How Many Radians Are Represented in a Specific Section of a Circle? 3 Views
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Description:
If M represents the origin, how many radians does ∠LMN measure?
Transcript
- 00:00
Yeah Whoa Okay S a T mash members We've gotta
- 00:05
figure here and note They tell us it's not drawn
- 00:08
to scale If M represents the origin how many radiance
- 00:14
does LMN measure Imagine taking a slice of pie from
- 00:20
this circle right there with a crust right there Some
Full Transcript
- 00:23
ice cream That's what we're going to do to solve
- 00:25
this problem So hidden within the deliciousness of the pie
- 00:29
is a right triangle right there We don't have the
- 00:31
angle measurements but we do have the sides The X
- 00:34
value which is one shows how long the horizontal leg
- 00:37
is The same goes for the Y value and the
- 00:40
vertical leg there See it looks like this That's the
- 00:42
triangle So there are two sides that are congruent that
- 00:46
means with grew And so the angles opposite to those
- 00:49
sides both marked a for angle also have to be
- 00:52
equal That corner is already ninety degrees and all angles
- 00:55
of a triangle add up to one hundred eighty degrees
- 00:57
Right So the two angles A have to add up
- 01:00
to ninety degrees So they must both be ninety divided
- 01:03
by two Yes forty five degrees each This is special
- 01:06
Forty five forty five ninety Triangle and L M n
- 01:09
here is forty five degrees but we need to convert
- 01:12
it to Radi ans How do we do that Well
- 01:14
forty five degrees times pi radio hands over one eighty
- 01:17
is pi over four radiance LMN measures pi over four
- 01:22
radiant So the answer is B And that very helpful
- 01:25
proportion we used is something needed to solve a whole
- 01:28
host of trigonometry problems One hundred eighty degrees is equal
- 01:31
to hi radiance forever Never the units of degrees cancel
- 01:34
because they're both in the numerator and denominator See how
- 01:37
that works there While we're here convert the other answer
- 01:40
choices too if you want right pie over six is
- 01:42
thirty degrees Power three sixty and over two is ninety 00:01:46.49 --> [endTime] and you know the correct answers can taste good
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