Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : Pentagons

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 #1 : How To Find An Angle In A Pentagon

What is the interior angle measure of any regular pentagon?

Possible Answers:

108

Correct answer:

108

Explanation:

To find the angle of any regular polygon you find the number of sides . For a pentagon, n=5 .

You then subtract 2 from the number of sides yielding 3.

Take 3 and multiply it by 180 degrees to yield the total number of degrees in the regular pentagon. 3*180=540

Then to find one individual angle we divide 540 by the total number of angles 5, $\frac{540}{5}=108$

The answer is 108 .

Report an Error

Example Question #2 : How To Find An Angle In A Pentagon

What is the measure of each interior angle of a regular pentagon?

Possible Answers:

90^o

180^o

108^o

120^o

Correct answer:

108^o

Explanation:

The following equation can be used to determine the measure of an interior angle of a regular polygon, where $\small n$ equals the number of sides.

$\angle=\frac{180(n-2)}{n}$

In a pentagon, $\small n=5$ .

$\angle=\frac{180(5-2)}{5}$

Now we can solve for the angle.

$\angle=\frac{180(3)}{5}=\frac{540}{5}=108^o$

Report an Error

Example Question #3 : Pentagons

Find the interior angle of the following regular pentagon:

Angle_length_of_side_pentagon

Possible Answers:

$116^{\circ}$

$110^{\circ}$

$114^{\circ}$

$108^{\circ}$

$112^{\circ}$

Correct answer:

$108^{\circ}$

Explanation:

The formula for the sum of the interior angles of a polygon is

$X=(s-2)(180^{\circ})$ ,

where is the number of sides in the polygon

Plugging in our values, we get:

$X=(5-2)(180^{\circ})$

$X=540^{\circ}$

Dividing the sum of the interior angles by the number of angles in the polygon, we get the value for each interior angle:

$\frac{X}{5}=\frac{540^{\circ}}{5}=108^{\circ}$

Report an Error

Example Question #1 : How To Find An Angle In A Pentagon

What is the measure of an interior angle of a regular pentagon?

Possible Answers:

108

120

Correct answer:

108

Explanation:

The measure of an interior angle of a regular polygon can be determined using the following equation, where equals the number of sides:

$\angle=\frac{180(n-2)}{n}$

$\angle=\frac{180(5-2)}{5}=\frac{180(3)}{5}=108$

Report an Error

Example Question #1 : Pentagons

What is the perimeter of the pentagon?

Question_9

Possible Answers:

Correct answer:

Explanation:

The perimeter of a polygon is found by calculating the sum of all of the side lengths. In this instance, the polygon is regular, so the perimeter can be found by mulitplying the length of one side by the total number of sides:

$P=l\times n=6\times 5=30$

Report an Error

Example Question #1 : Pentagons

Find the length of the diagonal of the following pentagon:

Area_pentagon

Possible Answers:

$3.4\ m$

$3.3\ m$

$3.2\ m$

$3.1\ m$

$3.0\ m$

Correct answer:

$3.4\ m$

Explanation:

Use the Pythagorean Theorem to find the length of the diagonal:

$(\frac{1}{2}side)^2+(apothem)^2=(diagonal)^2$

A^2+B^2 = C^2

$(2\ m)^2+(2.75\ m)^2 = C^2$

$C\approx 3.4\ m$

Report an Error

Example Question #2 : Pentagons

Find the length of the diagonal of the following pentagon:

Screen_shot_2014-03-11_at_8.34.46_pm

Possible Answers:

$6\sqrt{2}\ m$

$3\sqrt{2}\ m$

$6\ m$

$2\sqrt{3}\ m$

$4\sqrt{3} \ m$

Correct answer:

$3\sqrt{2}\ m$

Explanation:

Use the Pythagorean Theorem to find the length of the diagonal:

$(\frac{1}{2}side)^2+(apothem)^2=(diagonal)^2$

A^2+B^2 = C^2

$(3\ m)^2+(3\ m)^2=C^2$

$C=3\sqrt{2}\ m$

Report an Error

Example Question #3 : Pentagons

What is the side length of a regular pentagon with a perimeter of ?

Possible Answers:

Correct answer:

Explanation:

To find the side length of a regular pentagon with a perimeter of you must use the equation for the perimeter of a pentagon.

The equation is $Perimeter=(side\: length)*(number\: ofsides)$

Plug in the numbers for perimeter and number of sides to get $80=(side\: length)*(5)$

Divide each side of the equation by the number of sides to get the answer for the side length. $\frac{80}{5}=\frac{(side\: length)*(5)}{5}$

The answer is $\frac{80}{5}=16$ .

Report an Error

Example Question #2 : How To Find The Length Of The Side Of A Pentagon

Find the length of the side of the following pentagon.

Angle_length_of_side_pentagon

The perimeter of the pentagon is $30\ m$ .

Possible Answers:

$4\ m$

$5\ m$

$6\ m$

$8\ m$

$7\ m$

Correct answer:

$6\ m$

Explanation:

The formula for the perimeter of a regular pentagon is

P = 5(s) ,

where represents the length of the side.

Plugging in our values, we get:

$30\ m=5(s)$

$s=6\ m$

Report an Error

Example Question #3 : How To Find The Length Of The Side Of A Pentagon

Find the length of the side of the following pentagon.

Angle_length_of_side_pentagon

The perimeter of the pentagon is $20\ m$ .

Possible Answers:

$3\ m$

$7\ m$

$9\ m$

$4\ m$

$5\ m$

Correct answer:

$4\ m$

Explanation:

The formula for the perimeter of a regular pentagon is

P = 5(s) ,

where represents the length of the side.

Plugging in our values, we get:

$20\ m = 5(s)$

$s=4\ m$

Report an Error

View Tutors

Lana
Certified Tutor

University of Wyoming, Bachelor of Science, Microbiology. University of Wyoming, Bachelor of Science, Molecular Biology.

View Tutors

Michael
Certified Tutor

Cleveland State University, Bachelor of Science, Mathematics.

View Tutors

Kenneth
Certified Tutor

University of Houston, Bachelor of Science, Geology. University of Houston, Masters in Business Administration, Business Admi...

All High School Math Resources

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

Popular Subjects

Physics Tutors in Miami, Spanish Tutors in Los Angeles, Chemistry Tutors in Phoenix, GRE Tutors in Washington DC, SSAT Tutors in Denver, Biology Tutors in Seattle, ACT Tutors in Philadelphia, Chemistry Tutors in Philadelphia, Spanish Tutors in Dallas Fort Worth, MCAT Tutors in Chicago

Popular Courses & Classes

LSAT Courses & Classes in Phoenix, ISEE Courses & Classes in San Diego, ACT Courses & Classes in Houston, ACT Courses & Classes in Los Angeles, GRE Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Washington DC, ISEE Courses & Classes in Miami, SSAT Courses & Classes in Boston, Spanish Courses & Classes in Philadelphia, ACT Courses & Classes in Denver

Popular Test Prep

SSAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Philadelphia, ISEE Test Prep in New York City, GRE Test Prep in Philadelphia, GRE Test Prep in Dallas Fort Worth, ACT Test Prep in Los Angeles, GRE Test Prep in San Diego, SSAT Test Prep in Denver, GMAT 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 : Pentagons

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : How To Find An Angle In A Pentagon

Example Question #2 : How To Find An Angle In A Pentagon

Example Question #3 : Pentagons

Example Question #1 : How To Find An Angle In A Pentagon

Example Question #1 : Pentagons

Example Question #1 : Pentagons

Example Question #2 : Pentagons

Example Question #3 : Pentagons

Example Question #2 : How To Find The Length Of The Side Of A Pentagon

Example Question #3 : How To Find The Length Of The Side Of A Pentagon

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: