We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Area of a Circle

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Area Of A Circle

A circular swimming pool at an apartment complex has diameter 50 feet. The apartment manager needs to purchase a tarp that will cover this pool completely, but the store will only sell the material in multiples of ten square yards. How many square yards will the manager need to buy?

Use 3.14 for $\pi$ .

Possible Answers:

$220 \textrm{ yd}^{2}$

$150 \textrm{ yd}^{2}$

$160 \textrm{ yd}^{2}$

$210 \textrm{ yd}^{2}$

Correct answer:

$220 \textrm{ yd}^{2}$

Explanation:

The radius of the swimming pool is half the diameter, or 25 feet.

The area of the swimming pool is $\pi$ times the square of the radius, or

$\pi \times 25 ^{2} = 3.14 \times 625 = 1,962.5$ square feet, or

$1,962.5 \div 9 \approx 218$ square yards.

The manager will need to buy a number of square yards of tarp equal to the next highest multiple of ten, which is 220 square yards.

Report an Error

Example Question #1 : Area Of A Circle

A circular swimming pool at an apartment complex has diameter 30 meters. The apartment manager needs to purchase a tarp that will cover this pool completely, but the store will only sell the material in multiples of ten square meters. How many square yards will the manager need to buy?

Use 3.14 for $\pi$ .

Possible Answers:

$700 \textrm{ m}^{2}$

$710 \textrm{ m}^{2}$

$100 \textrm{ m}^{2}$

$110 \textrm{ m}^{2}$

Correct answer:

$710 \textrm{ m}^{2}$

Explanation:

The radius of the swimming pool is half the diameter, or 15 meters.

The area of the swimming pool is $\pi$ times the square of the radius, or

$\pi \times 15 ^{2} = 3.14 \times 225 = 706.5$ square meters.

The manager will need to buy a number of square yards of tarp equal to the next highest multiple of ten, which is 710 square meters.

Report an Error

Example Question #2 : Area Of A Circle

Axes_1

Give the circumference of the above circle. Assume each mark on each axis represents one unit.

Possible Answers:

$10 \pi$

$5 \pi$

$25 \pi$

$100 \pi$

Correct answer:

$10 \pi$

Explanation:

The diameter of the circle - the distance from one point to the opposite point - is 10 units, so the circumference is this multiplied by $\pi$ , or $10 \pi$ .

Report an Error

Example Question #3 : Area Of A Circle

What is the area of a circle with a diameter of $12\pi$ ?

Possible Answers:

$12\pi^2$

$144\pi$

$36\pi$

$144\pi^2$

$36\pi^3$

Correct answer:

$36\pi^3$

Explanation:

Be careful on several counts for this question. First, remember that you need the radius for calculating area. Therefore, since you know that the diameter is $12\pi$ , you can say that the radius is $6\pi$ .

Next, be very careful given that there is already a $\pi$ in your radius. The formula for the area of a circle is:

$A=\pi r^2$

For your data, this is:

$A=\pi (6\pi)^2=\pi * 36\pi^2=36\pi^3$

Report an Error

Example Question #3 : Area Of A Circle

What is the area of the circle with a radius of 25?

Possible Answers:

$150\pi$

$125\pi$

$5\pi$

$250\pi$

$625 \pi$

Correct answer:

$625 \pi$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius into the equation.

$A=\pi (25)^2$

Simplify the equation.

$A=\pi (25)(25) = 625 \pi$

The answer is: $625 \pi$

Report an Error

Example Question #3 : Area Of A Circle

Find the area of a circle with a radius of 12.

Possible Answers:

$24\pi ^2$

$144\pi ^2$

$36\pi$

$24\pi$

$144\pi$

Correct answer:

$144\pi$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius into the equation.

$A=\pi (12)^2 = 144\pi$

The answer is: $144\pi$

Report an Error

Example Question #4 : Area Of A Circle

What is the area of a circle with the diameter of 18?

Possible Answers:

$81\pi$

$432\pi$

$343\pi$

$324 \pi$

$36\pi$

Correct answer:

$81\pi$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

The radius is half the diameter, or 9.

Substitute the value of the radius in to the formula.

$A=\pi( 9)^2 = 81\pi$

The answer is: $81\pi$

Report an Error

Example Question #4 : Area Of A Circle

Find the area of a circle with a radius of $2\pi$ .

Possible Answers:

$2\pi ^2$

$2\pi ^3$

$4\pi ^3$

$4\pi$

$4\pi ^2$

Correct answer:

$4\pi ^3$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius into the equation.

$A=\pi (2\pi)^2$

Simplify this equation.

$A=\pi (2\pi)(2\pi) = 4\pi ^3$

The answer is: $4\pi ^3$

Report an Error

Example Question #5 : Area Of A Circle

Find the area of a circle with a diameter of 22cm.

Possible Answers:

$88\pi \text{ cm}^2$

$121\pi \text{ cm}^2$

$100\pi \text{ cm}^2$

$144\pi \text{ cm}^2$

$44\pi \text{ cm}^2$

Correct answer:

$121\pi \text{ cm}^2$

Explanation:

To find the area of a circle, we will use the following formula:

$A = \pi \cdot r^2$

where r is the radius of the circle.

Now, we know the diameter of the circle is 22cm. We also know the diameter is two times the radius. Therefore, the radius is 11cm.

So, we can substitute. We get

$A = \pi \cdot (11\text{cm})^2$

$A = \pi \cdot 121\text{cm}^2$

$A = 121\pi \text{ cm}^2$

Report an Error

Example Question #4 : Area Of A Circle

Find the area of a circle with a radius of 8in.

Possible Answers:

$48\pi \text{ in}^2$

$32\pi \text{ in}^2$

$16\pi \text{ in}^2$

$72\pi \text{ in}^2$

$64\pi \text{ in}^2$

Correct answer:

$64\pi \text{ in}^2$

Explanation:

To find the area of a circle, we will use the following formula:

$A = \pi \cdot r^2$

where r is the radius of the circle.

Now, we know the radius of the circle is 8in. So, we can substitute. We get

$A = \pi \cdot (8\text{in})^2$

$A = \pi \cdot 64\text{in}^2$

$A = 64\pi \text{ in}^2$

Report an Error

View Tutors

Rachel
Certified Tutor

Indiana University-Kokomo, Bachelor of Science, Merchandising and Buying Operations.

View Tutors

Christy
Certified Tutor

York University, Bachelor in Arts, Psychology.

View Tutors

Fabrianne
Certified Tutor

University of Washington-Seattle Campus, Bachelors, Electrical Engineering.

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Calculus Tutors in Washington DC, English Tutors in Boston, Reading Tutors in New York City, Biology Tutors in New York City, Math Tutors in New York City, Physics Tutors in Seattle, SAT Tutors in San Diego, Physics Tutors in Phoenix, Statistics Tutors in Dallas Fort Worth, ACT Tutors in Atlanta

Popular Courses & Classes

GMAT Courses & Classes in New York City, GMAT Courses & Classes in Denver, SSAT Courses & Classes in Denver, GMAT Courses & Classes in Houston, GMAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in San Diego, ACT Courses & Classes in Chicago, Spanish Courses & Classes in Seattle, GMAT Courses & Classes in Miami, SSAT Courses & Classes in Miami

Popular Test Prep

GRE Test Prep in Atlanta, LSAT Test Prep in Houston, GMAT Test Prep in Denver, GRE Test Prep in Washington DC, SSAT Test Prep in Chicago, SAT Test Prep in Los Angeles, SAT Test Prep in Washington DC, SSAT Test Prep in New York City, MCAT Test Prep in Dallas Fort Worth, GMAT Test Prep in San Francisco-Bay Area

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

GED Math : Area of a Circle

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1 : Area Of A Circle

Example Question #1 : Area Of A Circle

Example Question #2 : Area Of A Circle

Example Question #3 : Area Of A Circle

Example Question #3 : Area Of A Circle

Example Question #3 : Area Of A Circle

Example Question #4 : Area Of A Circle

Example Question #4 : Area Of A Circle

Example Question #5 : Area Of A Circle

Example Question #4 : Area Of A Circle

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: