Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Center and Radius of Circle Functions

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Center And Radius Of Circle Functions

$Identify\ the\ center\ and\ radius\ for\ (x+4)^2+(y-2)^2=49$

Possible Answers:

Center: (4,-2); Radius= 7

Center: (-4,2); Radius= 49

Center: (-4,2); Radius= 7

Center: (4,-2); Radius= 49

Correct answer:

Center: (-4,2); Radius= 7

Explanation:

When identifying the center of a circle, take the opposite sign of each value connected to x and y.

$(x+4)^2+(y-2)^2=49\ compare\ with\ the\ general\ equation\ of\ a\ circle: (x-h)^2+(y-k)^2=r^2$

$Changing\ signs\ for\ each\ gives\ us\ a\ center\ of: (-4,2)$

$To\ find\ the\ radius\ we\ set\ r^2=49,$

$take\ square\ root\ of\ both\ sides\ to\ get\ r=7.$

Report an Error

Example Question #91 : Quadratic Functions

What is the center and radius of the following equation, respectively?

(x-6)^2+(y+7)^2 = 2

Possible Answers:

(6,-7);4

(-6,7); 2

$(-6,7); \sqrt2$

(6,-7); 2

$(6,-7); \sqrt2$

Correct answer:

$(6,-7); \sqrt2$

Explanation:

The equation given represents a circle.

(x-h)^2+(y-k)^2=r^2

(h,k) represents the center, and is the radius.

h=6 , k = -7

The center is at: (6,-7)

Set up an equation to solve the radius.

r^2=2

The radius is: $r=\sqrt{2}$

The answer is: $(6,-7); \sqrt2$

Report an Error

Example Question #22 : Center And Radius Of Circle Functions

Which of the following represents the formula of a circle with a radius of centered at (-1,2) ?

Possible Answers:

$(x-1)^2+(y+2)^2=\sqrt2$

(x-1)^2+(y+2)^2=4

$(x-1)^2+(y+2)^2=2\sqrt2$

(x+1)^2+(y-2)^2=4

$(x+1)^2+(y-2)^2=\sqrt2$

Correct answer:

(x+1)^2+(y-2)^2=4

Explanation:

Write the standard form for a circle.

(x-h)^2+(y-k)^2=r^2

The circle is centered at: (h,k)

The radius is: r=2

Substitute all the known values into the formula.

(x-(-1))^2+(y-2)^2=2^2

Simplify this equation.

The answer is: (x+1)^2+(y-2)^2=4

Report an Error

View Algebra 2 Tutors

Chelsea
Certified Tutor

The University of Texas at Dallas, Bachelor of Science, Physics. The University of Texas at Dallas, Master of Science, Bioinf...

View Algebra 2 Tutors

Ataul
Certified Tutor

Temple University, Bachelor of Science, Financial Planning.

View Algebra 2 Tutors

Mariam
Certified Tutor

Yarmouk University, Bachelor of Science, Mathematics. Touro College, Master of Science, Teacher Education, Multiple Levels.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Spanish Tutors in Dallas Fort Worth, Spanish Tutors in Denver, Reading Tutors in Philadelphia, English Tutors in Houston, SAT Tutors in Miami, MCAT Tutors in Seattle, Chemistry Tutors in Miami, ACT Tutors in Washington DC, SAT Tutors in New York City, Physics Tutors in Washington DC

Popular Courses & Classes

ACT Courses & Classes in Los Angeles, GRE Courses & Classes in San Diego, ACT Courses & Classes in Philadelphia, ISEE Courses & Classes in Washington DC, SSAT Courses & Classes in Philadelphia, LSAT Courses & Classes in New York City, GRE Courses & Classes in Atlanta, GMAT Courses & Classes in Philadelphia, SAT Courses & Classes in Chicago, ACT Courses & Classes in Washington DC

Popular Test Prep

ACT Test Prep in Los Angeles, GRE Test Prep in Boston, GMAT Test Prep in San Francisco-Bay Area, GMAT Test Prep in Houston, ACT Test Prep in Seattle, GRE Test Prep in Atlanta, SSAT Test Prep in New York City, ACT Test Prep in Houston, ISEE Test Prep in Boston, ACT Test Prep in Philadelphia

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

Algebra II : Center and Radius of Circle Functions

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #21 : Center And Radius Of Circle Functions

Example Question #91 : Quadratic Functions

Example Question #22 : Center And Radius Of Circle Functions

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: