Call Now to Set Up Tutoring:

(888) 888-0446

Basic Geometry : How to find the length of a radius

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

← Previous 1 2 3 4 Next →

Example Question #1 : How To Find The Length Of A Radius

The area of a circle is one square yard. Give its radius in inches, to the nearest tenth of an inch.

Possible Answers:

$3.6\ inches$

$11.5\ inches$

$20.3\ inches$

$60.9\ inches$

$81.2\ inches$

Correct answer:

$20.3\ inches$

Explanation:

The area of a circle is

$A = \pi r^{2}$

Substitute 1 for :

$1 = \pi r^{2}$

$r = \sqrt{\frac{1}{\pi }}$

This is the radius in yards. The radius in inches is 36 times this.

$36\sqrt{\frac{1}{\pi }} \approx 20.3$

20.3 inches is the radius.

Report an Error

Example Question #2 : How To Find The Length Of A Radius

A circle has an area of 36π inches. What is the radius of the circle, in inches?

Possible Answers:

Correct answer:

Explanation:

We know that the formula for the area of a circle is πr². Therefore, we must set 36π equal to this formula to solve for the radius of the circle.

36π = πr²

36 = r²

6 = r

Report an Error

Example Question #1 : How To Find The Length Of A Radius

Circle X is divided into 3 sections: A, B, and C. The 3 sections are equal in area. If the area of section C is 12π, what is the radius of the circle?

Act_math_170_02

Circle X

Possible Answers:

√12

Correct answer:

Explanation:

Find the total area of the circle, then use the area formula to find the radius.

Area of section A = section B = section C

Area of circle X = A + B + C = 12π+ 12π + 12π = 36π

Area of circle = where r is the radius of the circle

36π = πr²

36 = r²

√36 = r

6 = r

Report an Error

Example Question #1 : How To Find The Length Of A Radius

The specifications of an official NBA basketball are that it must be 29.5 inches in circumference and weigh 22 ounces. What is the approximate radius of the basketball?

Possible Answers:

4.70 inches

9.39 inches

5.43 inches

14.75 inches

3.06 inches

Correct answer:

4.70 inches

Explanation:

To Find your answer, we would use the formula: C=2πr. We are given that C = 29.5. Thus we can plug in to get [29.5]=2πr and then multiply 2π to get 29.5=(6.28)r. Lastly, we divide both sides by 6.28 to get 4.70=r. (The information given of 22 ounces is useless)

Report an Error

Example Question #1 : How To Find The Length Of A Radius

What is the name of the segment in red?

Possible Answers:

Chord

Diameter

Radius

Diagonal

Ray

Correct answer:

Radius

Explanation:

The radius is the distance from the center of a circle to any point on it's perimeter.

Report an Error

Example Question #1 : How To Find The Length Of A Radius

What is the name of the segment in brown?

Possible Answers:

Diagonal

Chord

Diameter

Ray

Radius

Correct answer:

Chord

Explanation:

A chord is a line segment which joins two points on a curve. A chord does not go through the center of a circle.

Report an Error

Example Question #2 : How To Find The Length Of A Radius

The diameter of a circle is 16 centimeters. What is the circle's radius in centimeters?

Possible Answers:

Correct answer:

Explanation:

The radius is half of the diameter. To find the radius, simply divide the diameter by 2.

16/2=8

Report an Error

Example Question #5 : How To Find The Length Of A Radius

A circle with center (8, –5) is tangent to the y-axis in the standard (x,y) coordinate plane. What is the radius of this circle?

Possible Answers:

Correct answer:

Explanation:

For the circle to be tangent to the y-axis, it must have its outer edge on the axis. The center is 8 units from the edge.

Report an Error

Example Question #6 : How To Find The Length Of A Radius

The circle shown below has an area equal to $49\pi$ . What is the length of the radius, , of this circle?

Circle

Possible Answers:

Cannot be determined.

$7\pi$

Correct answer:

Explanation:

The formula for the area of a circle is $A=\pi R^{2}$ . We can fill in what we know, the area, and then solve for the radius, .

$49\pi =\pi R^{2}$

Divide each side of the equation by $\pi$ :

$49=R^{2}$

Take the square root of each side:

$\sqrt{49}=\sqrt{R^{2}}$

R=7

Report an Error

Example Question #1 : How To Find The Length Of A Radius

A circle has an area of $49\pi \ in^{2}$ . What is the radius of the circle, in inches?

Possible Answers:

16 inches

49 inches

24.5 inches

14 inches

7 inches

Correct answer:

7 inches

Explanation:

We know that the formula for the area of a circle is πr². Therefore, we must set 49π equal to this formula to solve for the radius of the circle.

49π = πr²

49 = r²

7 = r

Report an Error

← Previous 1 2 3 4 Next →

View Tutors

Benjamin
Certified Tutor

Portland State University, Bachelor of Science, Mathematics.

View Tutors

Matthew
Certified Tutor

Rider University, Bachelor of Science, Chemistry. Rutgers University-Camden, Master of Science, Organic Chemistry.

View Tutors

Anna
Certified Tutor

Ashford University, Bachelor of Science, Alternative and Complementary Medicine and Medical Systems, General. Excelsior Colle...

All Basic Geometry Resources

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

Popular Subjects

Computer Science Tutors in Seattle, LSAT Tutors in Washington DC, Statistics Tutors in Los Angeles, Spanish Tutors in Seattle, Biology Tutors in Washington DC, Chemistry Tutors in Houston, SSAT Tutors in Los Angeles, Statistics Tutors in Boston, Biology Tutors in Miami, SSAT Tutors in Dallas Fort Worth

Popular Courses & Classes

SAT Courses & Classes in Atlanta, LSAT Courses & Classes in Denver, ACT Courses & Classes in Denver, ISEE Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Phoenix, MCAT Courses & Classes in San Diego, SAT Courses & Classes in Houston, Spanish Courses & Classes in Chicago, ISEE Courses & Classes in Los Angeles

Popular Test Prep

GMAT Test Prep in Chicago, GMAT Test Prep in Phoenix, SSAT Test Prep in Miami, ACT Test Prep in Atlanta, LSAT Test Prep in Miami, GMAT Test Prep in San Diego, GRE Test Prep in San Diego, SSAT Test Prep in New York City, GMAT Test Prep in Boston, LSAT Test Prep in Dallas Fort Worth

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 : How to find the length of a radius

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #1 : How To Find The Length Of A Radius

Example Question #2 : How To Find The Length Of A Radius

Example Question #1 : How To Find The Length Of A Radius

Example Question #1 : How To Find The Length Of A Radius

Example Question #1 : How To Find The Length Of A Radius

Example Question #1 : How To Find The Length Of A Radius

Example Question #2 : How To Find The Length Of A Radius

Example Question #5 : How To Find The Length Of A Radius

Example Question #6 : How To Find The Length Of A Radius

Example Question #1 : How To Find The Length Of A Radius

All Basic Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: