We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : How to find the length of an arc

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 #21 : How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle is and the measurement of the central angle is 100 degrees.

Possible Answers:

$\frac{85}{9}\pi$

$\frac{80}{9}\pi$

$9\pi$

$10\pi$

Correct answer:

$\frac{80}{9}\pi$

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

$\text{Length of Arc}=\frac{\text{Measure of central angle}}{360}\times2\pi\times \text{radius}$

Substitute in the given values for the central angle and the radius.

$\text{Length of Arc}=\frac{100}{360}\times 2\pi \times 16$

Solve.

$\text{Length of Arc}=\frac{80}{9}\pi$

Report an Error

Example Question #22 : How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle is and the measurement of the central angle is 120 degrees.

Possible Answers:

$68\pi$

$66\pi$

$72\pi$

$70\pi$

Correct answer:

$68\pi$

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

$\text{Length of Arc}=\frac{\text{Measure of central angle}}{360}\times2\pi\times \text{radius}$

Substitute in the given values for the central angle and the radius.

$\text{Length of Arc}=\frac{120}{360}\times 2\pi \times 17$

Solve.

$\text{Length of Arc}=68\pi$

Report an Error

Example Question #23 : How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle is and the measurement of the central angle is 125 degrees.

Possible Answers:

$\frac{27}{2}\pi$

$13\pi$

$\frac{25}{2}\pi$

$12\pi$

Correct answer:

$\frac{25}{2}\pi$

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

$\text{Length of Arc}=\frac{\text{Measure of central angle}}{360}\times2\pi\times \text{radius}$

Substitute in the given values for the central angle and the radius.

$\text{Length of Arc}=\frac{125}{360}\times 2\pi \times 18$

Solve.

$\text{Length of Arc}=\frac{25}{2}\pi$

Report an Error

Example Question #24 : How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle is and the measurement of the central angle is 160 degrees.

Possible Answers:

$16\pi$

$12\pi$

$18\pi$

$20\pi$

Correct answer:

$16\pi$

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

$\text{Length of Arc}=\frac{\text{Measure of central angle}}{360}\times2\pi\times \text{radius}$

Substitute in the given values for the central angle and the radius.

$\text{Length of Arc}=\frac{160}{360}\times 2\pi \times 18$

Solve.

$\text{Length of Arc}=16\pi$

Report an Error

Example Question #25 : How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle is and the measurement of the central angle is 170 degrees.

Possible Answers:

$20\pi$

$\frac{185}{9}\pi$

$\frac{175}{9}\pi$

$\frac{170}{9}\pi$

Correct answer:

$\frac{170}{9}\pi$

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

$\text{Length of Arc}=\frac{\text{Measure of central angle}}{360}\times2\pi\times \text{radius}$

Substitute in the given values for the central angle and the radius.

$\text{Length of Arc}=\frac{170}{360}\times 2\pi \times 20$

Solve.

$\text{Length of Arc}=\frac{170}{9}\pi$

Report an Error

Example Question #91 : Circles

Find the length of an arc if the radius of the circle is and the measurement of the central angle is 140 degrees.

Possible Answers:

$17\pi$

$\frac{49}{3}\pi$

$16\pi$

$\frac{52}{3}\pi$

Correct answer:

$\frac{49}{3}\pi$

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

$\text{Length of Arc}=\frac{\text{Measure of central angle}}{360}\times2\pi\times \text{radius}$

Substitute in the given values for the central angle and the radius.

$\text{Length of Arc}=\frac{140}{360}\times 2\pi \times 21$

Solve.

$\text{Length of Arc}=\frac{49}{3}\pi$

Report an Error

Example Question #27 : How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle is and the measurement of the central angle is 200 degrees.

Possible Answers:

$\frac{220}{9}\pi$

$\frac{229}{9}\pi$

$\frac{211}{9}\pi$

$\frac{238}{9}\pi$

Correct answer:

$\frac{220}{9}\pi$

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

$\text{Length of Arc}=\frac{\text{Measure of central angle}}{360}\times2\pi\times \text{radius}$

Substitute in the given values for the central angle and the radius.

$\text{Length of Arc}=\frac{200}{360}\times 2\pi \times 22$

Solve.

$\text{Length of Arc}=\frac{220}{9}\pi$

Report an Error

Example Question #91 : Sectors

Find the length of an arc if the radius of the circle is and the measurement of the central angle is 210 degrees.

Possible Answers:

$28\pi$

$31\pi$

$30\pi$

$29\pi$

Correct answer:

$28\pi$

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

$\text{Length of Arc}=\frac{\text{Measure of central angle}}{360}\times2\pi\times \text{radius}$

Substitute in the given values for the central angle and the radius.

$\text{Length of Arc}=\frac{210}{360}\times 2\pi \times 24$

Solve.

$\text{Length of Arc}=28\pi$

Report an Error

Example Question #29 : How To Find The Length Of An Arc

In the figure below, $\text{chord AB}\parallel\text{chord CD}$ . If $\text{Arc AC}$ is degrees, in degrees, what is the measure of $\text{Arc BD}$ ?

Possible Answers:

The measurement of $\text{Arc BD}$ cannot be determined with the information given.

Correct answer:

Explanation:

Recall that when chords are parallel, the arcs that are intercepted are congruent. Thus, $\text{Arc AC}=\text{Arc BD}$ .

Then, $\text{Arc BD}$ must also be degrees.

Report an Error

View Tutors

Paarth
Certified Tutor

New Jersey Institute of Technology, Bachelor of Science, Computer Science.

View Tutors

Joshua
Certified Tutor

Murray State University, Bachelor in Arts, Spanish. Lipscomb University, Bachelor of Science, Teacher Assistant.

View Tutors

Kaylee
Certified Tutor

Brigham Young University, Bachelor, MFA - Animation.

All Intermediate Geometry Resources

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

Popular Subjects

Biology Tutors in Atlanta, Computer Science Tutors in Atlanta, Algebra Tutors in Seattle, Statistics Tutors in New York City, MCAT Tutors in San Francisco-Bay Area, SSAT Tutors in Dallas Fort Worth, Physics Tutors in Denver, Computer Science Tutors in Dallas Fort Worth, Algebra Tutors in Dallas Fort Worth, Math Tutors in Phoenix

Popular Courses & Classes

ISEE Courses & Classes in Seattle, SAT Courses & Classes in Denver, GMAT Courses & Classes in Los Angeles, GRE Courses & Classes in Seattle, SAT Courses & Classes in Miami, Spanish Courses & Classes in Philadelphia, SSAT Courses & Classes in Seattle, ISEE Courses & Classes in Houston, LSAT Courses & Classes in New York City, ACT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

LSAT Test Prep in Seattle, MCAT Test Prep in Philadelphia, MCAT Test Prep in Houston, SAT Test Prep in Philadelphia, SAT Test Prep in Phoenix, MCAT Test Prep in Chicago, SAT Test Prep in Chicago, GMAT Test Prep in Los Angeles, ISEE Test Prep in New York City, SSAT Test Prep in San Diego

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 : How to find the length of an arc

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #21 : How To Find The Length Of An Arc

Example Question #22 : How To Find The Length Of An Arc

Example Question #23 : How To Find The Length Of An Arc

Example Question #24 : How To Find The Length Of An Arc

Example Question #25 : How To Find The Length Of An Arc

Example Question #91 : Circles

Example Question #27 : How To Find The Length Of An Arc

Example Question #91 : Sectors

Example Question #29 : How To Find The Length Of An Arc

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: