ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Geometry and Measurement Videos 88 videos
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? 5 Views
Share It!
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
Related Videos
SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?
In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...
Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...