We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Geometry and Graphs

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 #121 : 2 Dimensional Geometry

Find the area of a circle with a diameter of $\frac{3}{2}$ .

Possible Answers:

$\frac{9}{4}\pi$

$\frac{3}{4}\pi$

$\frac{9}{16}\pi$

$\frac{9}{2}\pi$

$9\pi$

Correct answer:

$\frac{9}{16}\pi$

Explanation:

Write the formula for the area of a circle.

$A = \pi r^2$

The radius is half the diameter.

Multiply the diameter by $\frac{1}{2}$ .

$\frac{1}{2} \times \frac{3}{2} = \frac{3}{4}$

Substitute the radius.

$A = \pi (\frac{3}{4})^2 = \pi (\frac{3}{4})(\frac{3}{4}) = \frac{9}{16}\pi$

The answer is: $\frac{9}{16}\pi$

Report an Error

Example Question #122 : 2 Dimensional Geometry

Find the area of a circle with a diameter of $5\pi$ .

Possible Answers:

$\frac{25}{4}\pi^3$

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

$\frac{25}{4}\pi^2$

$\textup{The answer is not given.}$

$\frac{25}{2}\pi^3$

Correct answer:

$\frac{25}{4}\pi^3$

Explanation:

Write the area of a circle.

$A=\pi r^2$

The radius is half the diameter.

$r= \frac{d}{2} = \frac{5\pi}{2}$

Substitute the radius into the equation.

$A=\pi (\frac{5\pi}{2})^2=\pi (\frac{5\pi}{2})(\frac{5\pi}{2})$

The answer is: $\frac{25}{4}\pi^3$

Report an Error

Example Question #123 : 2 Dimensional Geometry

Circle 1

Give the area of the above circle.

Possible Answers:

$\frac{49 }{4}\pi$

$7 \pi$

$14 \pi$

$49 \pi$

Correct answer:

$\frac{49 }{4}\pi$

Explanation:

The area of a circle, given its radius , can be found using the formula

$A = \pi r^{2}$

The radius is half the diameter - that is, $r = \frac{d}{2}$ - so, substituting,

$A = \pi \left ( \frac{d}{2} \right )^{2}$

$A = \pi \left ( \frac{d^{2}}{2^{2}} \right )$

$A = \left ( \frac{d^{2}}{4} \right )\pi$

The diameter of the given circle is 7, so set d=7 in the above formula:

$A = \left ( \frac{7^{2}}{4} \right )\pi$

$A = \frac{49}{4} \pi$ ,

the correct area.

Report an Error

Example Question #124 : 2 Dimensional Geometry

Let $\pi=3.14$ .

Find the area of a circle with a diameter of 12in.

Possible Answers:

$452.16\text{in}^2$

$37.68\text{in}^2$

$56.52\text{in}^2$

$113.04\text{in}^2$

$40.80\text{in}^2$

Correct answer:

$113.04\text{in}^2$

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 $\pi=3.14$ . We also know the diameter is 12in. We know the diameter is two times the radius, so the radius is 6in. Now, we can substitute. We get

$A = 3.14 \cdot (6\text{in})^2$

$A = 3.14 \cdot 36\text{in}^2$

$A = 113.04\text{in}^2$

Report an Error

Example Question #121 : Circles

What is the area of a circle with a circumference of $3\pi$ ?

Possible Answers:

$\frac{3}{4}\pi$

$\frac{9}{4}\pi$

$\frac{3}{2}\pi$

$9\pi$

$6\pi$

Correct answer:

$\frac{9}{4}\pi$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

We will need to find the radius of the circle.

Write the formula for the circumference.

$C=2\pi r$

Substitute the circumference.

$3\pi=2\pi r$

Divide by $2\pi$ on both sides.

$\frac{3\pi}{2\pi }=\frac{2\pi r}{2\pi }$

The radius is: $\frac{3}{2}$

Substitute this into the area formula.

$A=\pi (\frac{3}{2})^2 = \frac{9}{4}\pi$

The answer is: $\frac{9}{4}\pi$

Report an Error

Example Question #126 : 2 Dimensional Geometry

Find the area of the circle with radius of 9x^3 .

Possible Answers:

$81\pi x^9$

$81\pi x^6$

$81\pi^2 x^6$

9x^6

$81\pi^2 x^9$

Correct answer:

$81\pi x^6$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius.

$A=\pi (9x^3)^2=\pi (9x^3)(9x^3) = 81\pi x^6$

The answer is: $81\pi x^6$

Report an Error

Example Question #121 : 2 Dimensional Geometry

Find the area of the circle with a radius of $\pi ^3$ .

Possible Answers:

$\pi ^{10}$

$\pi ^7$

$\pi ^4$

$\pi ^9$

$\pi^6$

Correct answer:

$\pi ^7$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius.

$A=\pi( \pi^3)^2 = \pi( \pi^3)( \pi^3) = \pi ^7$

The answer is: $\pi ^7$

Report an Error

Example Question #122 : Geometry And Graphs

Find the area of a circle with a diameter of 2x^2 .

Possible Answers:

$\frac{\pi x^3}{2}$

4x^2

2x^4

$\pi x^4$

$\pi x^3$

Correct answer:

$\pi x^4$

Explanation:

The radius of the circle is half the diameter, or x^2 .

Write the formula for the area of the circle.

$A= \pi r^2$

Substitute the radius.

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

The answer is: $\pi x^4$

Report an Error

Example Question #128 : 2 Dimensional Geometry

Determine the area of a circle with a diameter of $\pi^2$ .

Possible Answers:

$\pi^4$

$\frac{\pi^5}{4}$

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

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

$\frac{\pi^5}{2}$

Correct answer:

$\frac{\pi^5}{4}$

Explanation:

The radius of the circle is half the diameter, or $\frac{\pi^2}{2}$ .

Write the formula for the area of a circle.

$A = \pi r^2$

Substitute the radius.

$A = \pi (\frac{\pi^2}{2})^2= \pi (\frac{\pi^2}{2})(\frac{\pi^2}{2})$

The answer is: $\frac{\pi^5}{4}$

Report an Error

Example Question #129 : 2 Dimensional Geometry

Determine the area of a circle with a radius of 16x .

Possible Answers:

$32\pi x^2$

$216\pi x^2$

32x^2

$256\pi x^2$

$256\pi x$

Correct answer:

$256\pi x^2$

Explanation:

Write the area of a circle.

$A =\pi r^2$

Substitute the radius into the equation.

$A =\pi (16x)^2=\pi (16x)(16x)$

The answer is: $256\pi x^2$

Report an Error

View Tutors

Josephine
Certified Tutor

University of Maryland-College Park, Bachelor of Science, Environmental Science.

View Tutors

Angela
Certified Tutor

Saint Josephs College, Bachelor in Arts, Mathematics.

View Tutors

Zachary
Certified Tutor

University of South Florida-Main Campus, Bachelor of Education, High School Teaching. University of South Florida-Main Campus...

All GED Math Resources

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

Popular Subjects

Reading Tutors in Houston, GRE Tutors in Washington DC, SSAT Tutors in San Diego, French Tutors in San Francisco-Bay Area, SAT Tutors in Phoenix, Chemistry Tutors in Houston, LSAT Tutors in Denver, Spanish Tutors in Dallas Fort Worth, Statistics Tutors in New York City, MCAT Tutors in Philadelphia

Popular Courses & Classes

SAT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Chicago, ISEE Courses & Classes in Atlanta, GRE Courses & Classes in Los Angeles, GMAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Washington DC, SAT Courses & Classes in Denver, SSAT Courses & Classes in Chicago, Spanish Courses & Classes in Phoenix, ISEE Courses & Classes in San Diego

Popular Test Prep

SAT Test Prep in Phoenix, ACT Test Prep in Dallas Fort Worth, SSAT Test Prep in Miami, GMAT Test Prep in Los Angeles, ACT Test Prep in Chicago, MCAT Test Prep in San Diego, MCAT Test Prep in Philadelphia, ACT Test Prep in Los Angeles, GRE Test Prep in Miami, GRE Test Prep in Washington DC

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 : Geometry and Graphs

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #121 : 2 Dimensional Geometry

Example Question #122 : 2 Dimensional Geometry

Example Question #123 : 2 Dimensional Geometry

Example Question #124 : 2 Dimensional Geometry

Example Question #121 : Circles

Example Question #126 : 2 Dimensional Geometry

Example Question #121 : 2 Dimensional Geometry

Example Question #122 : Geometry And Graphs

Example Question #128 : 2 Dimensional Geometry

Example Question #129 : 2 Dimensional Geometry

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: