Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : Other Polygons

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Geometry

What is the measure of one interior angle of a regular twenty-three-sided polygon (nearest tenth of a degree)?

Possible Answers:

$159.3^{\circ }$

$174.3^{\circ }$

$169.3^{\circ }$

$164.3^{\circ }$

$154.3^{\circ }$

Correct answer:

$164.3^{\circ }$

Explanation:

The measure of each interior angle of a regular polygon with sides is $\frac{180 (N-2)}{N}$ . We can substitute N = 23 to obtain the angle measure:

$\frac{180 (N-2)}{N} = \frac{180 (23-2)}{23} = \frac{180 \cdot 21}{23}\approx 164.3^{\circ }$

Report an Error

Example Question #5 : How To Find An Angle In A Polygon

A regular polygon has interior angles which measure $162^{\circ }$ each. How many sides does the polygon have?

Possible Answers:

Correct answer:

Explanation:

The easiest way to answer this is to note that, since an interior angle and an exterior angle form a linear pair - and thus, a supplementary pair - each exterior angle would have measure $180-162 = 18^{\circ }$ . Since 360 divided by the number of sides of a regular polygon is equal to the measure of one of its exterior angles, we are seeking such that

$\frac{360}{N} = 18$

Solve for :

$\frac{360}{N}\cdot N= 18\cdot N$

18N = 360

$18N \div 18= 360\div 18$

N = 20

The polygon has 20 sides.

Report an Error

Example Question #1 : How To Find The Length Of A Side Of A Polygon

If the area of a regular octagon is 160 and the apothem is 8, what is the side length?

Possible Answers:

12.25

Correct answer:

Explanation:

To find the side length from the area of an octagon and the apothem we must use the area of a polygon which is

First plug in our numbers for area and the apothem to get

$160=\frac{1}{2}(8)(perimeter)$

Then multiply to get 160=4(perimeter)

Then divide both sides by 4 to get the perimeter of the figure. $\frac{160}{4}=40$

When we have the perimeter of a regular polygon, to find the side length we must divide by the number of sides of the polygon, in this case 8. $\frac{40}{8}=5$

After dividing we find the side length is

Report an Error

View Tutors

Donald
Certified Tutor

Cleveland State University, Bachelor of Science, Chemistry. University of Southern California, Doctor of Philosophy, Organic ...

View Tutors

Victoria
Certified Tutor

Norte Dame de Namur University, Bachelor in Arts, Sociology. University of San Francisco, Master of Arts, Organizational Lead...

View Tutors

Shweta
Certified Tutor

All India Management Association , Master's/Graduate, Human Resource Management . Indian Law Institute , Master's/Graduate, C...

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Denver, Calculus Tutors in Denver, Chemistry Tutors in Dallas Fort Worth, Math Tutors in San Diego, GRE Tutors in San Diego, Chemistry Tutors in Boston, Computer Science Tutors in Atlanta, GMAT Tutors in Washington DC, SSAT Tutors in Chicago, Math Tutors in Miami

Popular Courses & Classes

ISEE Courses & Classes in New York City, ISEE Courses & Classes in Los Angeles, Spanish Courses & Classes in New York City, SSAT Courses & Classes in Phoenix, Spanish Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Houston, SAT Courses & Classes in Atlanta, SAT Courses & Classes in Miami, SSAT Courses & Classes in Denver

Popular Test Prep

GRE Test Prep in Seattle, LSAT Test Prep in Denver, ISEE Test Prep in New York City, LSAT Test Prep in San Diego, LSAT Test Prep in San Francisco-Bay Area, GMAT Test Prep in Houston, ISEE Test Prep in Houston, MCAT Test Prep in Denver, ISEE Test Prep in Philadelphia, SAT Test Prep in Boston

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

High School Math : Other Polygons

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #21 : Geometry

Example Question #5 : How To Find An Angle In A Polygon

Example Question #1 : How To Find The Length Of A Side Of A Polygon

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: