We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

New SAT Math - Calculator : Radians

Study concepts, example questions & explanations for New SAT Math - Calculator

Create An Account

All New SAT Math - Calculator Resources

2 Diagnostic Tests 27 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : Radians

Convert $75^\circ$ into radians

Possible Answers:

$\frac {5\pi}{12}$

$\frac {5\pi}{18}$

$-\frac {5\pi}{12}$

$\frac {5\pi}{6}$

Correct answer:

$\frac {5\pi}{12}$

Explanation:

Step 1: Recall the formula to change a degree measure into radians:

The formula is: $Degree\cdot \frac {\pi}{180}$ .

Step 2: Plug in the angle:

$75 \cdot \frac {\pi}{180}$

Step 3: Simplify:

We will use the and try to reduce the 180 as much as possible.

After Dividing by 3:

$25 \cdot \frac {\pi}{60}$

After dividing by 5:

$5 \cdot \frac {\pi}{12}=\frac {5\pi}{12}$

$75^\circ$ is $\frac {5\pi}{12}$ in radians.

Report an Error

Example Question #53 : Unit Circle And Radians

Convert $\frac {4\pi}{3}$ in degrees.

Possible Answers:

$240^\circ$

$270^\circ$

$250^\circ$

$225^\circ$

Correct answer:

$240^\circ$

Explanation:

Step 1: To convert radians back to degrees, multiply that radian measure by $\frac {180}{\pi}$

Step 2: Multiply:

$\frac {4\pi}{3}\cdot \frac {180}{\pi}$

Step 3: Reduce.. The $\pi$ will cancel...

$\frac {4}{3} \cdot 180$

Step 4: Divide 180 by ..

$4\cdot 60^\circ=240^\circ$

$\frac {4\pi}{3}$ is equivalent to $240^\circ$

Report an Error

Example Question #51 : Unit Circle And Radians

Round your answer to the nearest thousandth.

Convert $107^{\circ}$ to radians:

Possible Answers:

336.151

1.868

$1.868\pi$

1.87

Correct answer:

1.868

Explanation:

We know that:

$360^{\circ}=2\pi$ Radians

since the giving angle was in degrees then we multiply

$107^{\circ}*\frac{\pi}{180^{\circ}}= 1.868$

Report an Error

Example Question #55 : Unit Circle And Radians

Simplify your answer.

Convert $45^{\circ}$ to radians:

Possible Answers:

$\frac{\pi }{2}$

$\frac{\pi }{8}$

$\frac{1}{2}$

$\frac{1 }{4}$

$\frac{\pi }{4}$

Correct answer:

$\frac{\pi }{4}$

Explanation:

We know that:

$360^{\circ}=2\pi$ Radians

since the giving angle was in degrees then we multiply

$45^{\circ}*\frac{\pi}{180^{\circ}}= \frac{\pi}{4}$

Report an Error

Example Question #53 : Unit Circle And Radians

Simplify your answer.

Convert $\frac{5\pi}{6}$ to degree:

Possible Answers:

$120^{\circ}$

$300^{\circ}$

$210^{\circ}$

$150^{\circ}$

120

Correct answer:

$150^{\circ}$

Explanation:

We know that:

$360^{\circ}=2\pi$ Radians

since the giving angle was in radians then we multiply

$\frac{5\pi}{6}*\frac{180}{\pi}= 150^{\circ}$

Report an Error

Example Question #52 : Unit Circle And Radians

Round your answer to the nearest thousandth.

Convert 3 radians to degrees:

Possible Answers:

$343.775^{\circ}$

$171.887^{\circ}$

$.052^{\circ}$

$60\pi$

$85.944^{\circ}$

Correct answer:

$171.887^{\circ}$

Explanation:

We know that:

$360^{\circ}=2\pi$ Radians

since the giving angle was in radians then we multiply

$3*\frac{180}{\pi}= 171.887^{\circ}$

Report an Error

Example Question #53 : Unit Circle And Radians

What is the value in degrees of the following?

$\theta=\frac{26\pi}{5}$

Possible Answers:

$\theta=400\degree$

$\theta=960\degree$

$\theta=800\degree$

$\theta=936\degree$

Correct answer:

$\theta=936\degree$

Explanation:

To convert from radians to degrees, you must multiply by $\frac{180\degree}{\pi}$ .

The pi units will cancel out, leaving you with degrees.

Plugging into a calculator, you obtain

$\frac{26\pi}{5}\cdot \frac{180\degree}{\pi}$

$\theta=936\degree$ .

Report an Error

Example Question #61 : Unit Circle And Radians

Convert $\frac{11\pi}{5}$ into degrees.

Possible Answers:

$300\degree$

$400\degree$

$395\degree$

$396\degree$

Correct answer:

$396\degree$

Explanation:

To convert from radians to degrees, you must multiply the angle by $\frac{180\degree}{\pi}$ to cancel the $\pi$ units.

This will get you

$11\cdot \frac{180\degree}{5}=396^\circ$

Report an Error

Example Question #62 : Unit Circle And Radians

Convert $\frac{2\pi}{5}$ to degrees:

Possible Answers:

$114^{\circ}$

$\frac{2}{5}^{\circ}$

$72\pi$

$72^{\circ}$

$36^{\circ}$

Correct answer:

$72^{\circ}$

Explanation:

To convert radians to degrees, we need to multiply the given radians by $\frac{180^{\circ}}{\pi}$ .

$\frac{2\pi}{5}*\frac{180^{\circ}}{\pi}=\frac{360^{\circ}}{5}=72^{\circ}$

Report an Error

Example Question #44 : Circles

Give your answer in terms of $\pi$ .

Convert $165^{\circ}$ to radians:

Possible Answers:

$\frac{11\pi}{12}$

$\frac{12\pi}{11}$

$\frac{\pi}{12}$

$\frac{11\pi}{24}$

$\frac{11\pi}{6}$

Correct answer:

$\frac{11\pi}{12}$

Explanation:

To convert degrees to radians, we need to multiply the given degree by $\frac{\pi}{180^{\circ}}$ .

$165*^{\circ}\frac{\pi}{180^{\circ}}=\frac{165\pi}{180}$

To simplify, we get:

$\frac{11\pi}{12}$

Report an Error

View Tutors

Paarth
Certified Tutor

New Jersey Institute of Technology, Bachelor of Science, Computer Science.

View Tutors

Joshua
Certified Tutor

Murray State University, Bachelor in Arts, Spanish. Lipscomb University, Bachelor of Science, Teacher Assistant.

View Tutors

Kaylee
Certified Tutor

Brigham Young University, Bachelor, MFA - Animation.

All New SAT Math - Calculator Resources

2 Diagnostic Tests 27 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Chemistry Tutors in Chicago, SSAT Tutors in Seattle, ISEE Tutors in Chicago, Calculus Tutors in Houston, ISEE Tutors in Boston, Physics Tutors in Miami, Math Tutors in Washington DC, Computer Science Tutors in Denver, Calculus Tutors in Chicago, Algebra Tutors in New York City

Popular Courses & Classes

SSAT Courses & Classes in Houston, ACT Courses & Classes in Miami, ISEE Courses & Classes in Philadelphia, ISEE Courses & Classes in Boston, MCAT Courses & Classes in Atlanta, SSAT Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Boston, Spanish Courses & Classes in Houston, Spanish Courses & Classes in Chicago, LSAT Courses & Classes in Phoenix

Popular Test Prep

SAT Test Prep in Denver, GRE Test Prep in New York City, SSAT Test Prep in San Diego, GMAT Test Prep in Miami, LSAT Test Prep in Denver, SSAT Test Prep in Washington DC, SSAT Test Prep in Denver, ISEE Test Prep in Atlanta, SAT Test Prep in Washington DC, GRE Test Prep in Miami

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

New SAT Math - Calculator : Radians

Study concepts, example questions & explanations for New SAT Math - Calculator

All New SAT Math - Calculator Resources

Example Questions

Example Question #41 : Radians

Example Question #53 : Unit Circle And Radians

Example Question #51 : Unit Circle And Radians

Example Question #55 : Unit Circle And Radians

Example Question #53 : Unit Circle And Radians

Example Question #52 : Unit Circle And Radians

Example Question #53 : Unit Circle And Radians

Example Question #61 : Unit Circle And Radians

Example Question #62 : Unit Circle And Radians

Example Question #44 : Circles

All New SAT Math - Calculator Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: