We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : How to find the area of a sector

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 #3 : Sectors

In the figure, PQ is the arc of a circle with center O. If the area of the sector is $3\pi$ what is the perimeter of sector?

Possible Answers:

$1 + \pi$

$12 + \pi$

$6 + \pi$

$12 + 2\pi$

$3 + 2\pi$

Correct answer:

$12 + \pi$

Explanation:

First, we figure out what fraction of the circle is contained in sector OPQ: $\frac{30^{\circ}}{360^{\circ}}= \frac{1}{12}$ , so the total area of the circle is $\dpi{100} \small 12\times 3\pi=36$ .

Using the formula for the area of a circle, ${\pi}r^{2}$ , we can see that $\dpi{100} \small r=6$ .

We can use this to solve for the circumference of the circle, $2{\pi}r$ , or $12{\pi}$ .

Now, OP and OQ are both equal to r, and PQ is equal to $\dpi{100} \small \frac{1}{12}$ of the circumference of the circle, or ${\pi}$ .

To get the perimeter, we add OP + OQ + PQ, which give us $12+{\pi}$ .

Report an Error

View Tutors

Metaxia
Certified Tutor

Rutgers University-Camden, Bachelor in Arts, Digital Arts. Loyola University Maryland, Masters in Education, Special Education.

View Tutors

Tyler
Certified Tutor

Massachusetts Institute of Technology, Master of Engineering, Manufacturing Engineering.

View Tutors

Wataru
Certified Tutor

Tokyo University of Science, Bachelor of Science, Applied Mathematics.

All High School Math Resources

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

Popular Subjects

Spanish Tutors in New York City, Biology Tutors in Phoenix, LSAT Tutors in Seattle, GRE Tutors in Miami, SAT Tutors in Dallas Fort Worth, SSAT Tutors in Phoenix, GRE Tutors in Los Angeles, Algebra Tutors in New York City, Reading Tutors in Washington DC, English Tutors in Philadelphia

Popular Courses & Classes

SSAT Courses & Classes in Miami, MCAT Courses & Classes in Chicago, MCAT Courses & Classes in Washington DC, LSAT Courses & Classes in New York City, GMAT Courses & Classes in San Diego, SAT Courses & Classes in Denver, SAT Courses & Classes in New York City, SSAT Courses & Classes in Phoenix, GRE Courses & Classes in Phoenix, GMAT Courses & Classes in Philadelphia

Popular Test Prep

SAT Test Prep in Dallas Fort Worth, SSAT Test Prep in San Diego, SSAT Test Prep in San Francisco-Bay Area, GRE Test Prep in Philadelphia, MCAT Test Prep in Philadelphia, ISEE Test Prep in Atlanta, ISEE Test Prep in Washington DC, GRE Test Prep in Houston, SAT Test Prep in Washington DC, GRE Test Prep in Phoenix

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 : How to find the area of a sector

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #3 : Sectors

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: