Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : Circles

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Intermediate Geometry

How many degrees are in $35\%$ $\displaystyle 35\%$ of a circle?

Possible Answers:

$108^{\circ}$ $\displaystyle 108^{\circ}$

$126^{\circ}$ $\displaystyle 126^{\circ}$

$95^{\circ}$ $\displaystyle 95^{\circ}$

$75^{\circ}$ $\displaystyle 75^{\circ}$

$135^{\circ}$ $\displaystyle 135^{\circ}$

Correct answer:

$126^{\circ}$ $\displaystyle 126^{\circ}$

Explanation:

There are 360 $\displaystyle 360$ degrees in a circleso the equation to solve becomes a simple percentage problem:

$x=0.35\cdot 360 = 126$ $\displaystyle x=0.35\cdot 360 = 126$

Report an Error

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

A sector contains $\small 12.5\%$ $\displaystyle \small 12.5\%$ of a circle. What is the measure of the central angle of the sector?

Possible Answers:

$\small 45^\circ$ $\displaystyle \small 45^\circ$

$\small 12.5^\circ$ $\displaystyle \small 12.5^\circ$

$\small 22.5^\circ$ $\displaystyle \small 22.5^\circ$

$\small 30^\circ$ $\displaystyle \small 30^\circ$

$\small 8^\circ$ $\displaystyle \small 8^\circ$

Correct answer:

$\small 45^\circ$ $\displaystyle \small 45^\circ$

Explanation:

An entire circle is $\small 360^\circ$ $\displaystyle \small 360^\circ$. A sector that is $\small 12.5\%$ $\displaystyle \small 12.5\%$ of the circle therefore has a central angle that is $\small 12.5\%$ $\displaystyle \small 12.5\%$ of $\small 360^\circ$ $\displaystyle \small 360^\circ$.

$\small 12.5\%(360)=45$ $\displaystyle \small 12.5\%(360)=45$

Therefore, our central angle is $\small 45^\circ$ $\displaystyle \small 45^\circ$

Report an Error

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

If you have 66.7 $\displaystyle 66.7$ percent of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

240 $\displaystyle 240$

66.7% $\displaystyle 66.7%$

100 $\displaystyle 100$

210 $\displaystyle 210$

120 $\displaystyle 120$

Correct answer:

240 $\displaystyle 240$

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

Now you need to convert $66.7\%$ $\displaystyle 66.7\%$ into a decimal.

$66.7\% \rightarrow \frac{66.7}{100}=0.667$ $\displaystyle 66.7\% \rightarrow \frac{66.7}{100}=0.667$

If you multiply 360 by 0.667, you get the degree measure that corresponds to the percentage, which is 240.

$360 \cdot 0.667=240$ $\displaystyle 360 \cdot 0.667=240$

Report an Error

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

If you have $20\%$ $\displaystyle 20\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

$\displaystyle 62$

$\displaystyle 72$

$\displaystyle 20$

$\displaystyle 18$

$\displaystyle 50$

Correct answer:

$\displaystyle 72$

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First convert $20\%$ $\displaystyle 20\%$ into a decimal.

$20\% \rightarrow \frac{20}{100}=0.2$ $\displaystyle 20\% \rightarrow \frac{20}{100}=0.2$

If you multiply 360 by 0.20, you get the degree measure that corresponds to the percentage, which is 72.

$360 \cdot 0.2=72$ $\displaystyle 360 \cdot 0.2=72$

Report an Error

Example Question #3 : Plane Geometry

If you have $30\%$ $\displaystyle 30\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

$\displaystyle 72$

$\displaystyle 30$

108 $\displaystyle 108$

100 $\displaystyle 100$

110 $\displaystyle 110$

Correct answer:

108 $\displaystyle 108$

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

In order to start this problem we need to convert the percent into a decimal.

$30\% \rightarrow \frac{30}{100}=0.3$ $\displaystyle 30\% \rightarrow \frac{30}{100}=0.3$

If you multiply 360 by 0.30, you get the degree measure that corresponds to the percentage, which is 108.

$360\cdot 0.3=108$ $\displaystyle 360\cdot 0.3=108$

Report an Error

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

If you have $35\%$ $\displaystyle 35\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

120 $\displaystyle 120$

126 $\displaystyle 126$

$\displaystyle 35$

116 $\displaystyle 116$

130 $\displaystyle 130$

Correct answer:

126 $\displaystyle 126$

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First convert the percent to decimal.

$35\% \rightarrow \frac{35}{100}=0.35$ $\displaystyle 35\% \rightarrow \frac{35}{100}=0.35$

Now if you multiply 360 by 0.35, you get the degree measure that corresponds to the percentage, which is 126.

$360 \cdot 0.35=126$ $\displaystyle 360 \cdot 0.35=126$

Report an Error

Example Question #7 : How To Find The Angle For A Percentage Of A Circle

If you have $90\%$ $\displaystyle 90\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

330 $\displaystyle 330$

300 $\displaystyle 300$

344 $\displaystyle 344$

$\displaystyle 90$

324 $\displaystyle 324$

Correct answer:

324 $\displaystyle 324$

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First convert the percentage into a decimal.

$90\% \rightarrow \frac{90}{100}=0.9$ $\displaystyle 90\% \rightarrow \frac{90}{100}=0.9$

If you multiply 360 by 0.90, you get the degree measure that corresponds to the percentage, which is 324.

$360 \cdot 0.90=324$ $\displaystyle 360 \cdot 0.90=324$

Report an Error

Example Question #1 : Circles

If you have $45\%$ $\displaystyle 45\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

180 $\displaystyle 180$

170 $\displaystyle 170$

162 $\displaystyle 162$

$\displaystyle 45$

162 $\displaystyle 162$

Correct answer:

162 $\displaystyle 162$

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First we need to convert the percentage into a decimal.

$45\% \rightarrow \frac{45}{100}=0.45$ $\displaystyle 45\% \rightarrow \frac{45}{100}=0.45$

If you multiply 360 by 0.45, you get the degree measure that corresponds to the percentage, which is 162.

$360 \cdot 0.45=162$ $\displaystyle 360 \cdot 0.45=162$

Report an Error

Example Question #1 : Circles

If you have $37.5\%$ $\displaystyle 37.5\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

140 $\displaystyle 140$

37.5 $\displaystyle 37.5$

$\displaystyle 50$

135 $\displaystyle 135$

$\displaystyle 90$

Correct answer:

135 $\displaystyle 135$

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

In order to solve this problem we first need to convert the percentage into a decimal.

$37.5\% \rightarrow \frac{37.5}{100}=0.375$ $\displaystyle 37.5\% \rightarrow \frac{37.5}{100}=0.375$

If you multiply 360 by 0.375, you get the degree measure that corresponds to the percentage, which is 135.

$360 \cdot 0.375=135$ $\displaystyle 360 \cdot 0.375=135$

Report an Error

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

If you have $70\%$ $\displaystyle 70\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

280 $\displaystyle 280$

250 $\displaystyle 250$

252 $\displaystyle 252$

262 $\displaystyle 262$

$\displaystyle 70$

Correct answer:

252 $\displaystyle 252$

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First we need to convert the percentage into a decimal.

$70\% \rightarrow \frac{70}{100}=0.7$ $\displaystyle 70\% \rightarrow \frac{70}{100}=0.7$

If you multiply 360 by 0.70, you get the degree measure that corresponds to the percentage, which is 252.

$360 \cdot 0.7 =252$ $\displaystyle 360 \cdot 0.7 =252$

Report an Error

View Tutors

Racquel
Certified Tutor

Rochester Institute of Technology, Bachelor of Science, Management Information Systems. University of Phoenix, Master of Scie...

View Tutors

Eugene
Certified Tutor

Wesleyan University, Bachelor of Science, Physics. Wesleyan University, Master's/Graduate, College of Integrative Sciences.

View Tutors

Michael
Certified Tutor

University of California-San Diego, Bachelors, Physics with specialization in Earth Science. University of California-San Die...

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Miami, ACT Tutors in Boston, French Tutors in Chicago, Reading Tutors in Seattle, Algebra Tutors in Seattle, ACT Tutors in San Diego, SAT Tutors in Atlanta, GMAT Tutors in San Francisco-Bay Area, LSAT Tutors in Seattle, English Tutors in Denver

Popular Courses & Classes

MCAT Courses & Classes in New York City, MCAT Courses & Classes in Denver, LSAT Courses & Classes in San Diego, LSAT Courses & Classes in Seattle, LSAT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Los Angeles, ACT Courses & Classes in Philadelphia, MCAT Courses & Classes in Washington DC, ACT Courses & Classes in New York City, MCAT Courses & Classes in Philadelphia

Popular Test Prep

LSAT Test Prep in Atlanta, MCAT Test Prep in Chicago, GMAT Test Prep in San Diego, SAT Test Prep in Philadelphia, ISEE Test Prep in Seattle, LSAT Test Prep in Houston, ACT Test Prep in Seattle, ISEE Test Prep in Philadelphia, ACT Test Prep in Philadelphia, MCAT 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

Intermediate Geometry : Circles

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #1 : Intermediate Geometry

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

Example Question #3 : Plane Geometry

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

Example Question #7 : How To Find The Angle For A Percentage Of A Circle

Example Question #1 : Circles

Example Question #1 : Circles

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: