What is the formula to convert radians to degrees?

Degrees = Radians * $$\frac{180}{\pi}$$ .

If an angle is $$\frac{5\pi}{3}$$ radians, what is a coterminal angle in the range of $$[0, 2\pi)$$ ?

$$\frac{5\pi}{3} - 2\pi = -\frac{1\pi}{3} + 2\pi = \frac{5\pi}{3}$$ .

Resource Library

Math

Trigonometry

Radians And Arc Length

Warmup Coterminal, Arc Length, Lv

Warmup Coterminal, Arc Length, LV

Flashcard

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.TF.A.1, HSG.C.B.5

Standards-aligned

Wayground Content

FREE Resource

Student preview

15 questions

Show all answers

FLASHCARD QUESTION

Front

What is $\frac{2\pi}{3}$ radians in degrees?

Back

$120\degree$

Tags

CCSS.HSF.TF.A.1

FLASHCARD QUESTION

Front

Find the arc length. Leave your answer in terms of π.

Back

$\frac{7}{2}\pi$

Tags

CCSS.HSG.C.B.5

FLASHCARD QUESTION

Front

Which angle is COTERMINAL to $\frac{\pi}{4}$ ?

Back

$\frac{9\pi}{4}$

FLASHCARD QUESTION

Front

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian measure of the central angle?

Back

$3\text{ radian}$

Tags

CCSS.HSG.C.B.5

FLASHCARD QUESTION

Front

A central angle measures 4.5 radians and has an arc of 35 inches. What is the radius of the circle?

Back

$7.78\text{ inches}$

Tags

CCSS.HSG.C.B.5

FLASHCARD QUESTION

Front

Define coterminal angles.

Back

Coterminal angles are angles that share the same terminal side when drawn in standard position, differing by integer multiples of $360\degree$ or $2\pi$ radians.

FLASHCARD QUESTION

Front

What is the formula for arc length?

Back

Arc length $L = r\theta$ , where $L$ is the arc length, $r$ is the radius, and $\theta$ is the central angle in radians.

Tags

CCSS.HSG.C.B.5

FLASHCARD QUESTION

Front

Convert $180\degree$ to radians.

Back

$\pi\text{ radians}$ .

Tags

CCSS.HSF.TF.A.1

FLASHCARD QUESTION

Front

What is the relationship between degrees and radians?

Back

$180\degree = \pi\text{ radians}$ .

Tags

CCSS.HSF.TF.A.1

10.

FLASHCARD QUESTION

Front

How do you find a coterminal angle?

Back

To find a coterminal angle, add or subtract $360\degree$ or $2\pi$ radians.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Microsoft

or continue with

Facebook

Apple

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

15 questions

Solving Systems by Graphing Intro Review

Flashcard

•

7th - 9th Grade

15 questions

Amplify Earth Moon Sun Chapter 1

Flashcard

•

8th Grade

6 questions

STMS Early Study of Evolution

Flashcard

•

8th Grade

12 questions

Future Simple Task

Flashcard

•

7th - 8th Grade

10 questions

Mandarin Fruits

Flashcard

•

10 questions

Present Simple - Negative

Flashcard

•

10th Grade

15 questions

Functions vs Non Function

Flashcard

•

8th Grade

Popular Resources on Wayground

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

20 questions

Brand Labels

Quiz

•

5th - 12th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Exponent Rules

Quiz

•

8th - 9th Grade

12 questions

Absolute Value Equations

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

15 questions

Linear vs Nonlinear Functions

Quiz

•

8th - 9th Grade

20 questions

Rigid Transformations

Quiz

•

9th Grade

10 questions

Solving Absolute Value Equations

Quiz

•

9th Grade

10 questions

1.4 Distributive Property and Combining Like Terms Alg 1 V1

Quiz

•

9th Grade