Call Now to Set Up Tutoring:

(888) 888-0446

New SAT Writing and Language : New SAT

Study concepts, example questions & explanations for New SAT Writing and Language

Create An Account

All New SAT Writing and Language Resources

3 Diagnostic Tests 39 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #24 : Radians

Convert $\frac{7\pi}{4}$ radians into degrees.

Possible Answers:

$285^{\circ}$

$345^{\circ}$

$270^{\circ}$

$225^{\circ}$

$315^{\circ}$

Correct answer:

$315^{\circ}$

Explanation:

Recall the definition of "radians" derived from the unit circle:

$180^{\circ} = \pi rad$

The quantity of radians given in the problem is $\frac{7\pi}{4}$ . All that is required to convert this measure into degrees is to denote the unknown angle measure in degrees by $\Theta$ and set up a proportion equation using the aforementioned definition relating radians to degrees:

$\frac{180^{\circ}}{\Theta} = \frac{\pi rad}{\frac{7\pi}{4} rad}$

Cross-multiply the denominators in these fractions to obtain:

$1260^{\circ}\pi rad=4\Theta\pi rad$

$315^{\circ}\pi rad =\Theta\pi rad$ .

Canceling like terms in these equations yields

$\Theta = 315^{\circ}$

Hence, the correct angle measure of $\frac{7\pi}{4}$ in degrees is $315^{\circ}$ .

Report an Error

Example Question #591 : New Sat

$\frac{37\pi}{18}$ radians is equivalent to how many degrees?

Possible Answers:

$185^\circ$

$370^\circ$

$350^\circ$

$10^\circ$

Correct answer:

$370^\circ$

Explanation:

1 radian is equal to $\frac{180}{\pi}$ degrees. Using this conversion factor,

$\frac{37\pi}{18}\times\frac{180}{\pi}=37\times10=370$ .

Report an Error

Example Question #421 : Trigonometry

Convert $150^{\circ}$ into radians.

Possible Answers:

$\frac{\pi}{6}$

$\frac{3\pi}{2}$

$\frac{\pi}{4}$

$\frac{10\pi}{6}$

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

Correct answer:

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

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to $2\pi$ radians. In order to convert between radians and degrees use the relationship that,

$360^\circ=2\pi \Rightarrow 180^\circ=\pi$

Thus, in order to convert from degrees to radians you need to multiply by $\frac{\pi}{180}$ .

So in this particular case,

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

Report an Error

Example Question #201 : New Sat Math Calculator

Convert $330^{\circ}$ into radians.

Possible Answers:

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

$\frac{7\pi}{5}$

$\frac{7\pi}{3}$

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

$\frac{\pi}{3}$

Correct answer:

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

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to radians. In order to convert between radians and degrees use the relationship that, $360^\circ=2\pi \Rightarrow 180^\circ=\pi$

Thus, in order to convert from degrees to radians you need to multiply by . $\frac{\pi}{180}$

So in this particular case,

$330*\frac{\pi}{180}=\frac{11\pi}{6}$ .

Report an Error

Example Question #31 : Radians

Convert $1^{\circ}$ into radians.

Possible Answers:

$\frac{\pi}{180}$

$2\pi$

$\pi$

$\frac{\pi}{90}$

$\frac{\pi}{360}$

Correct answer:

$\frac{\pi}{180}$

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to radians. In order to convert between radians and degrees use the relationship that,

$360^\circ=2\pi \Rightarrow 180^\circ=\pi$ .

Thus, in order to convert from degrees to radians you need to multiply by $\frac{\pi}{180}$ .

So in this particular case,

$1*\frac{\pi}{180}=\frac{\pi}{180}$ .

Report an Error

Example Question #425 : Trigonometry

Convert $2^{\circ}$ into radians.

Possible Answers:

$2\pi$

$\frac{\pi}{180}$

$\pi$

$\frac{\pi}{90}$

$\frac{\pi}{360}$

Correct answer:

$\frac{\pi}{90}$

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to radians. In order to convert between radians and degrees use the relationship that,

$360^\circ=2\pi \Rightarrow 180^\circ=\pi$

Thus, in order to convert from degrees to radians you need to multiply by $\frac{\pi}{180}$ .

So in this particular case,

$2*\frac{\pi}{180}=\frac{\pi}{90}$ .

Report an Error

Example Question #422 : Trigonometry

Convert $10^{\circ}$ into radians.

Possible Answers:

$\frac{\pi}{18}$

$\frac{10\pi}{9}$

$\frac{\pi}{180}$

$\frac{\pi}{36}$

$\frac{\pi}{90}$

Correct answer:

$\frac{\pi}{18}$

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to radians. In order to convert between radians and degrees use the relationship that,

$360^\circ=2\pi \Rightarrow 180^\circ=\pi$ .

Thus, in order to convert from degrees to radians you need to multiply by $\frac{\pi}{180}$ .

So in this particular case,

$10*\frac{\pi}{180}=\frac{\pi}{18}$ .

Report an Error

Example Question #43 : Unit Circle And Radians

Convert $600^{\circ}$ into radians.

Possible Answers:

$\frac{10\pi}{9}$

$3\pi$

$\frac{10\pi}{3}$

$\frac{11\pi}{5}$

$\frac{\pi}{5}$

Correct answer:

$\frac{10\pi}{3}$

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to radians. In order to convert between radians and degrees use the relationship that,

$360^\circ=2\pi \Rightarrow 180^\circ=\pi$ .

Thus, in order to convert from degrees to radians you need to multiply by $\frac{\pi}{180}$ .

So in this particular case,

$600*\frac{\pi}{180}=\frac{10\pi}{3}$ .

Report an Error

Example Question #423 : Trigonometry

Convert $\frac{\pi}{2}$ into degrees.

Possible Answers:

$90^\circ$

$180^\circ$

$30^\circ$

$55^\circ$

$60^\circ$

Correct answer:

$90^\circ$

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to $2\pi$ radians. In order to convert between radians and degrees use the relationship that,

$360^\circ=2\pi \Rightarrow 180^\circ=\pi$

Therefore, in order to convert from radians to degrees you need to multiply by $\frac{180}{\pi}$ .

So,

$\frac{\pi}{2}*\frac{180}{\pi}=90^\circ$ .

Report an Error

Example Question #201 : New Sat Math Calculator

Convert $\pi$ into degrees.

Possible Answers:

$3.14^{\circ}$

$180^{\circ}$

$360^{\circ}$

$30^{\circ}$

$90^{\circ}$

Correct answer:

$180^{\circ}$

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to $2\pi$ radians. In order to convert between radians and degrees use the relationship that,

$360^\circ=2\pi \Rightarrow 180^\circ=\pi$ .

Therefore, in order to convert from radians to degrees you need to multiply by $\frac{180}{\pi}$ . So in this particular case,

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

Report an Error

View Tutors

Pushpendra
Certified Tutor

university of allahabad, Bachelor of Science, Mathematics.

View Tutors

Shravanthi
Certified Tutor

Sri Venkata Sai medical college, Bachelor of Science, Community Health and Preventive Medicine.

View Tutors

Kristine
Certified Tutor

St. Dominic Savio, Masters in Education, Special Education.

All New SAT Writing and Language Resources

3 Diagnostic Tests 39 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SAT Tutors in Philadelphia, ISEE Tutors in Boston, SSAT Tutors in Los Angeles, Math Tutors in Houston, ISEE Tutors in Chicago, Calculus Tutors in Los Angeles, MCAT Tutors in Phoenix, Spanish Tutors in New York City, French Tutors in Seattle, LSAT Tutors in Los Angeles

Popular Courses & Classes

ISEE Courses & Classes in Washington DC, SAT Courses & Classes in Phoenix, GMAT Courses & Classes in Washington DC, GMAT Courses & Classes in Denver, SAT Courses & Classes in Seattle, LSAT Courses & Classes in San Diego, GRE Courses & Classes in Denver, ISEE Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Houston, ISEE Courses & Classes in Atlanta

Popular Test Prep

MCAT Test Prep in Miami, ISEE Test Prep in New York City, GMAT Test Prep in Atlanta, GRE Test Prep in Seattle, LSAT Test Prep in Seattle, ISEE Test Prep in Dallas Fort Worth, LSAT Test Prep in Chicago, MCAT Test Prep in Los Angeles, ISEE Test Prep in Washington DC, GRE Test Prep in Denver

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 Writing and Language : New SAT

Study concepts, example questions & explanations for New SAT Writing and Language

All New SAT Writing and Language Resources

Example Questions

Example Question #24 : Radians

Example Question #591 : New Sat

Example Question #421 : Trigonometry

Example Question #201 : New Sat Math Calculator

Example Question #31 : Radians

Example Question #425 : Trigonometry

Example Question #422 : Trigonometry

Example Question #43 : Unit Circle And Radians

Example Question #423 : Trigonometry

Example Question #201 : New Sat Math Calculator

All New SAT Writing and Language Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: