Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : Intermediate Geometry

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 #26 : 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 140 degrees.

Possible Answers:

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

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

$17\pi$

$16\pi$

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 #28 : 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 210 degrees.

Possible Answers:

$31\pi$

$28\pi$

$29\pi$

$30\pi$

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

Example Question #1 : How To Find The Angle Of A Sector

Circle

In the circle above, the length of arc BC is 100 degrees, and the segment AC is a diameter. What is the measure of angle ADB in degrees?

Possible Answers:

100

cannot be determined

Correct answer:

Explanation:

Since we know that segment AC is a diameter, this means that the length of the arc ABC must be 180 degrees. This means that the length of the arc AB must be 80 degrees.

Since angle ADB is an inscribed angle, its measure is equal to half of the measure of the angle of the arc that it intercepts. This means that the measure of the angle is half of 80 degrees, or 40 degrees.

Report an Error

View Tutors

PV
Certified Tutor

Abilene Christian University, Bachelor of Science, Engineering Physics.

View Tutors

Christopher
Certified Tutor

University of Michigan-Ann Arbor, Bachelor of Science, Computer Science.

View Tutors

Jeffrey
Certified Tutor

All Intermediate Geometry Resources

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

Popular Subjects

Math Tutors in Los Angeles, SAT Tutors in New York City, Calculus Tutors in Phoenix, Algebra Tutors in New York City, Algebra Tutors in Phoenix, French Tutors in Phoenix, SSAT Tutors in San Francisco-Bay Area, English Tutors in Los Angeles, Reading Tutors in Boston, English Tutors in Denver

Popular Courses & Classes

SSAT Courses & Classes in Los Angeles, ISEE Courses & Classes in Denver, SSAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Houston, ISEE Courses & Classes in Miami, MCAT Courses & Classes in Houston, MCAT Courses & Classes in Seattle, LSAT Courses & Classes in Denver, Spanish Courses & Classes in Boston, MCAT Courses & Classes in Phoenix

Popular Test Prep

ACT Test Prep in Atlanta, ISEE Test Prep in Denver, GRE Test Prep in San Diego, ISEE Test Prep in San Diego, ISEE Test Prep in Miami, GMAT Test Prep in San Francisco-Bay Area, GRE Test Prep in Miami, MCAT Test Prep in Denver, MCAT Test Prep in Dallas Fort Worth, GMAT 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 : Intermediate Geometry

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 #26 : How To Find The Length Of An Arc

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

Example Question #28 : How To Find The Length Of An Arc

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

Example Question #1 : How To Find The Angle Of A Sector

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: