ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Geometry and Measurement Videos 87 videos

SAT Math 1.1 Geometry and Measurement
719 Views

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.

See All

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

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
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

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...

SAT Math: Which Equation Represents Profit?
13 Views

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...