Call Now to Set Up Tutoring:

(888) 888-0446

Basic Geometry : Basic Geometry

Study concepts, example questions & explanations for Basic Geometry

Create An Account

All Basic Geometry Resources

9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #361 : Circles

A circle has an area of $3 \pi cm^2$ . What is the diameter of the circle?

Possible Answers:

3 cm

$2\sqrt{3}cm$

$3\sqrt{2}cm$

$\sqrt{3}cm$

$3\pi cm$

Correct answer:

$2\sqrt{3}cm$

Explanation:

The formula for the area of a circle is:

$A=\pi r^2$

Since we know the area is $3\pi$ , we plug that in to solve for the radius:

$3\pi=\pi r^2$

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

3=r^2

$r=\sqrt{3}$

Now that we know the radius, we simply double it to find the diameter:

$d=2\sqrt{3}$

So the diameter of the circle is $2\sqrt{3}cm$ .

Report an Error

Example Question #362 : Circles

From the center of a circle playing field to the edge is 25 yards. This is called the radius. What is the length of the diameter of the field?

Possible Answers:

$100\ Yards$

$25\ Yards$

$40\ Yards$

$12.5\ Yards$

$50\ Yards$

Correct answer:

$50\ Yards$

Explanation:

To find the diameter of a circle, it is from one side of the circle through the center of the circle to the other side. Or if the radius is from the center of a circle to the edge, the diameter must be twice the radius.

d=2r

Since the information given is the radius of the circle we know that r=25 .

Substituting the radius into the above equation we can solve for the diameter.

$\\d=2(25) \\d=50$

Therfore the diameter of this circle is double 25 yards which would be 50 yards.

Report an Error

Example Question #361 : Circles

The top of a can has a radius of 5cms. What is the length of the diameter of the can?

Possible Answers:

20cms

12.5cms

5cms

15cms

10cms

Correct answer:

10cms

Explanation:

d=2r

Since the information given is the radius of the circle we know that r=5 .

Substituting the radius into the above equation we can solve for the diameter.

$\\d=2(5) \\d=10$

Therfore the diameter of this circle is double 5cms which would be 10cms.

Report an Error

Example Question #361 : Circles

A circular pool has a circumference of 27 meters. What the diameter of the pool?

Possible Answers:

$15.4\hspace{1mm} meters$

$15\hspace{1mm} meters$

$8.6\hspace{1mm} meters$

$84.8\hspace{1mm} meters$

$10\hspace{1mm} meters$

Correct answer:

$8.6\hspace{1mm} meters$

Explanation:

We find the circumference of circles with the relationship $C=\pi *D$ , where D is diameter.

Since we are given the circumference of the pool, solve for D by dividing both sides by $\pi$ .

$D=\frac{C}{\pi}=\frac{27meters}{\pi} =\mathbf{8.6\hspace{1mm}meters}$

Report an Error

Example Question #361 : Basic Geometry

If the radius of a circle is 7cm, what is the diameter?

Possible Answers:

7cm

4cm

3.5cm

14cm

49cm

Correct answer:

14cm

Explanation:

The radius is half of the diameter.

2r=d

2(7cm )=d

d=14cm

Report an Error

Example Question #362 : Circles

The area of a circle is $196\pi$ inches^2 . What is the diameter?

Possible Answers:

$32\ in$

$14\ in$

$16\ in$

$28\ in$

$22\ in$

Correct answer:

$28\ in$

Explanation:

To find the diameter, we must first find the radius using the formula to find a circle's area.

$\pi r^2=area$

We have the area, so we have to work backwards.

$\pi r^2=196\pi$

Divide both sides by $\pi$

r^2=196

Take the square root of both sides.

$\sqrt{r^2}=\sqrt{196}$

r=14 inches

Now, since you have the radius, you have to double it to get the diameter.

diameter = 28 inches

Report an Error

Example Question #362 : Basic Geometry

The area of a circle is $81 \pi \enspace un^2$ . What is the diameter?

Possible Answers:

9 un

4.5 un

81 un

18 un

Correct answer:

18 un

Explanation:

The area of a circle is $\pi r^2$ , which means that in this circle, the radius squared is 81. The square root of 81 is 9, which means that the radius is 9. The diameter is just twice the length of the radius, so in this case 9 times 2, which is 18.

Report an Error

Example Question #363 : Basic Geometry

The area of a circle is $25 \pi \enspace in^2$ . What is the length of its diameter?

Possible Answers:

2.5 in

50 in

5 in

25 in

10 in

Correct answer:

10 in

Explanation:

The area of a circle is $\pi r^2$ . In this case, r ^2 = 25 . Taking the square root, the radius has a length of 5. To find the diameter, multiply by 2. Two times five is 10, so the diameter has a length of 10.

Report an Error

Example Question #365 : Circles

True or false: A circle with radius 20 has diameter 10.

Possible Answers:

True

False

Correct answer:

False

Explanation:

The diameter of a circle is twice its radius (not the other way around), so a circle with radius 20 has diameter $2 \times 20 = 40$ .

Report an Error

Example Question #364 : Basic Geometry

True or false: A circle with radius 500 centimeters has diameter one meter.

Possible Answers:

False

True

Correct answer:

False

Explanation:

The diameter of a circle is twice that of the radius, so the diameter of a circle with radius 500 centimeters is $500 \textrm{ cm} \times 2 = 1,000 \textrm{ cm}$ . However, one meter is equal to 100 centimeters, so the statement is false.

Report an Error

View Tutors

Ibifuro Winifred
Certified Tutor

University of Port Harcourt Rivers State Nigeria, Bachelor of Science, Zoology.

View Tutors

Constance
Certified Tutor

Loyola University-Chicago, Bachelors, Psychology. Sam Houston State University, Masters, Counseling Psychology.

View Tutors

Margaret
Certified Tutor

Providence College, Bachelor in Arts, Humanities.

All Basic Geometry Resources

9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

French Tutors in Boston, Computer Science Tutors in Chicago, Algebra Tutors in Atlanta, Reading Tutors in Phoenix, Computer Science Tutors in Phoenix, Algebra Tutors in San Diego, SSAT Tutors in Atlanta, French Tutors in Miami, ACT Tutors in Phoenix, Math Tutors in Los Angeles

Popular Courses & Classes

GMAT Courses & Classes in Seattle, ISEE Courses & Classes in Atlanta, LSAT Courses & Classes in Los Angeles, GRE Courses & Classes in Houston, SAT Courses & Classes in Houston, LSAT Courses & Classes in Washington DC, Spanish Courses & Classes in Phoenix, ACT Courses & Classes in New York City, ACT Courses & Classes in Philadelphia, Spanish Courses & Classes in New York City

Popular Test Prep

LSAT Test Prep in Phoenix, SAT Test Prep in Atlanta, LSAT Test Prep in Washington DC, ACT Test Prep in New York City, ACT Test Prep in Denver, GMAT Test Prep in Los Angeles, LSAT Test Prep in Atlanta, SAT Test Prep in San Diego, MCAT Test Prep in Washington DC, MCAT Test Prep in Miami

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

Basic Geometry : Basic Geometry

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #361 : Circles

Example Question #362 : Circles

Example Question #361 : Circles

Example Question #361 : Circles

Example Question #361 : Basic Geometry

Example Question #362 : Circles

Example Question #362 : Basic Geometry

Example Question #363 : Basic Geometry

Example Question #365 : Circles

Example Question #364 : Basic Geometry

All Basic Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: