Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : Area of a Circle

Study concepts, example questions & explanations for Pre-Algebra

Create An Account

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Area Of A Circle

Find the area of a circle that has a radius of .

Possible Answers:

$x^2\pi$

$4x\pi$

$x\pi$

$2x\pi$

Correct answer:

$x^2\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

Since r=x :

$\text{Area}=\pi\times(x^2)$

$\text{Area}=x^2\pi$

Report an Error

Example Question #12 : Area Of A Circle

Find the area of a circle that has a radius of .

Possible Answers:

$289\pi$

$128\pi$

$17\pi$

$34\pi$

Correct answer:

$289\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

Since r=17 :

$\text{Area}=\pi\times(17^2)$

$\text{Area}=289\pi$

Report an Error

Example Question #13 : Area Of A Circle

Find the area of a circle with a diameter of .

Possible Answers:

$12\pi$

$24\pi$

$36\pi$

$144\pi$

Correct answer:

$36\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

We were given the circle's diameter, .

d=2r

Substitute.

12=2r

Divide both sides by .

$\frac{12}{2}=r$

r=6

Solve for the area of the circle.

$\text{Area}=\pi\times(6^2)$

$\text{Area}=36\pi$

Report an Error

Example Question #131 : Area

Find the area of a circle that has a diameter of .

Possible Answers:

$48\pi$

$36\pi$

$144\pi$

$24\pi$

Correct answer:

$144\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

We were given the circle's diameter, .

d=2r

Substitute.

24=2r

Divide both sides by .

$\frac{24}{2}=r$

r=12

Solve for the area of the circle.

$\text{Area}=\pi\times(12^2)$

$\text{Area}=144\pi$

Report an Error

Example Question #132 : Area

Find the area of a circle that has a diameter of .

Possible Answers:

$81\pi$

$68\pi$

$324\pi$

$36\pi$

Correct answer:

$81\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

We were given the circle's diameter, .

d=2r

Substitute.

18=2r

Divide both sides by .

$\frac{18}{2}=r$

r=9

Solve for the area of the circle.

$\text{Area}=\pi\times(9^2)$

$\text{Area}=81\pi$

Report an Error

Example Question #133 : Area

Find the area of a circle that has a circumference of $16\pi$

Possible Answers:

$36\pi$

$196\pi$

$16\pi$

$64\pi$

Correct answer:

$64\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

We were given the circle's circumference, .

$C=\pi\times d$

Solve for to find the circle's diameter.

$16\pi=\pi\times d$

Divide both sides by $\pi$ .

$\frac{16\pi}{\pi}=d$

d=16

Now we have the circle's diameter, . We can find the radius, .

d=2r

Substitute.

16=2r

Divide both sides by .

$\frac{16}{2}=r$

r=8

Solve for the area of the circle.

$\text{Area}=\pi\times(8^2)$

$\text{Area}=64\pi$

Report an Error

Example Question #134 : Area

Find the area of a circle that has a circumference of $10\pi$ .

Possible Answers:

$5\pi$

$100\pi$

$25\pi$

$50\pi$

Correct answer:

$25\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

We were given the circle's circumference, .

$C=\pi\times d$

Solve for to find the circle's diameter.

$10\pi=\pi\times d$

Divide both sides by $\pi$ .

$\frac{10\pi}{\pi}=d$

d=10

Now we have the circle's diameter, . We can find the radius, .

d=2r

Substitute.

10=2r

Divide both sides by .

$\frac{10}{2}=r$

r=5

Solve for the area of the circle.

$\text{Area}=\pi\times(5^2)$

$\text{Area}=25\pi$

Report an Error

Example Question #135 : Area

Find the area of a circle that has a circumference of $26\pi$ .

Possible Answers:

$26\pi$

$169\pi$

$104\pi$

$676\pi$

Correct answer:

$169\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

We were given the circle's circumference, .

$C=\pi\times d$

Solve for to find the circle's diameter.

$26\pi=\pi\times d$

Divide both sides by $\pi$ .

$\frac{26\pi}{\pi}=d$

d=26

Now we have the circle's diameter, . We can find the radius, .

d=2r

Substitute.

26=2r

Divide both sides by .

$\frac{26}{2}=r$

r=13

Solve for the area of the circle.

$\text{Area}=\pi\times(13^2)$

$\text{Area}=169\pi$

Report an Error

Example Question #136 : Area

Find the area of a circle that has a circumference of .

Possible Answers:

$8x\pi$

$\frac{4x^{2}}{\pi}$

$16x^2\pi$

$2x^2\pi$

Correct answer:

$\frac{4x^{2}}{\pi}$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

We were given the circle's circumference, .

$C=\pi\times d$

Solve for to find the circle's diameter.

$4x=\pi\times d$

Divide both sides by $\pi$ .

$\frac{4x}{\pi}=d$

$d=\frac{4x}{\pi}$

Now we have the circle's diameter, . We can find the radius, .

d=2r

Substitute.

$\frac{4x}{\pi}=2r$

Divide both sides by .

$\frac{4x}{2\pi}=r$

$r=\frac{2x}{\pi}$

Solve for the area of the circle.

$\text{Area}=\pi\times\left ( \frac{2x}{\pi} \right )^{2}$

$\text{Area}=\pi\times\left ( \frac{4x^{2}}{\pi^{2}} \right )$

Simplify.

$\text{Area}= \frac{4x^{2}}{\pi}$

Report an Error

Example Question #137 : Area

Find the area of a circle that has a circumference of $20\pi$ .

Possible Answers:

$100\pi$

$40\pi$

$125\pi$

$400\pi$

Correct answer:

$100\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

We were given the circle's circumference, .

$C=\pi\times d$

Solve for to find the circle's diameter.

$20\pi=\pi\times d$

Divide both sides by $\pi$ .

$\frac{20\pi}{\pi}=d$

d=20

Now we have the circle's diameter, . We can find the radius, .

d=2r

Substitute.

20=2r

Divide both sides by .

$\frac{20}{2}=r$

r=10

Solve for the area of the circle.

$\text{Area}=\pi\times(10^2)$

$\text{Area}=100\pi$

Report an Error

View Pre-Algebra Tutors

Arnav
Certified Tutor

Rutgers University-Newark, Bachelor of Science, Biomedical Engineering.

View Pre-Algebra Tutors

Garth
Certified Tutor

View Pre-Algebra Tutors

Seth
Certified Tutor

Bob Jones University, Bachelor of Science, Information Technology.

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ISEE Tutors in Seattle, GMAT Tutors in Chicago, GRE Tutors in Phoenix, SAT Tutors in Los Angeles, Biology Tutors in Los Angeles, Computer Science Tutors in Miami, GRE Tutors in Los Angeles, Algebra Tutors in San Francisco-Bay Area, GMAT Tutors in Los Angeles, Calculus Tutors in Seattle

Popular Courses & Classes

LSAT Courses & Classes in Denver, SSAT Courses & Classes in Atlanta, MCAT Courses & Classes in Phoenix, SSAT Courses & Classes in Phoenix, GMAT Courses & Classes in Philadelphia, GRE Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Boston, MCAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Washington DC

Popular Test Prep

MCAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Philadelphia, ISEE Test Prep in Atlanta, SAT Test Prep in Los Angeles, GRE Test Prep in Dallas Fort Worth, GRE Test Prep in Boston, SAT Test Prep in New York City, MCAT Test Prep in Chicago, MCAT Test Prep in Seattle, GRE 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

Pre-Algebra : Area of a Circle

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #11 : Area Of A Circle

Example Question #12 : Area Of A Circle

Example Question #13 : Area Of A Circle

Example Question #131 : Area

Example Question #132 : Area

Example Question #133 : Area

Example Question #134 : Area

Example Question #135 : Area

Example Question #136 : Area

Example Question #137 : Area

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: