GRE Math : How to find the distance between clock hands

Study concepts, example questions & explanations for GRE Math

Create An Account

All GRE Math Resources

13 Diagnostic Tests 452 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : How To Find The Distance Between Clock Hands

A clock has two equally long hands on it, each measuring inches. If the minute hand is directly on and the hour hand is directly on , what is the distance between the two hands?

Possible Answers:

$\frac{10\pi}{3}\:in$

$4.5\pi\:in$

$6\pi\:in$

$7\pi\:in$

$\frac{3\pi}{7}\:in$

Correct answer:

$\frac{10\pi}{3}\:in$

Explanation:

Our clock looks roughly like this:

Clock124

Now, between every number on the clock, there are $\frac{360}{12}$ or degrees. Therefore, from to , there are 4*30=120 degrees. To find the arc length, you use the equation:

$\frac{degrees}{360}*Circumference$

Now, we know:

$C=2\pi r$

We know that r=5 . Therefore, we can write our equation:

$\frac{120}{360}*2*\pi*5=\frac{1}{3}*10\pi=\frac{10\pi}{3}$

Report an Error

Example Question #5 : How To Find The Distance Between Clock Hands

A clock has two equally long hands on it, each measuring inches. If the minute hand is directly on and the hour hand is directly in the middle of and , what is the distance between the two hands?

Possible Answers:

$12\pi$

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

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

$\frac{7\pi}{3}$

$2\pi$

Correct answer:

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

Explanation:

Our clock looks roughly like this:

Clock3

Now, between every number on the clock, there are $\frac{360}{12}$ or degrees. We have a little trickier math to do, however. Let's subdivide the clock into subsections instead. Each of these will have degrees. Now, between and , there are such subsections. Since the hour hand is directly in the middle of and , there is one more such subsection. Therefore, we have total subsections or 9*15=135 degrees. To find the arc length, you use the equation:

$\frac{degrees}{360}*Circumference$

Now, we know:

$C=2\pi r$

We know that r=6 . Therefore, we can write our equation:

$\frac{135}{360}*2*\pi*6=\frac{3}{8}*12\pi=\frac{9\pi}{2}$

Report an Error

Example Question #4 : How To Find The Distance Between Clock Hands

A clock has two equally long hands on it, each measuring inches and extending to the edge of the clock. If the minute hand is directly on and the hour hand is directly on , what is the length of the minor arc connecting the two hands?

Possible Answers:

$\frac{\pi}{6}$

$1.25\pi$

$2\pi$

$\pi$

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

Correct answer:

$\pi$

Explanation:

Our clock looks roughly like this:

Clock1210

Now, between every number on the clock, there are $\frac{360}{12}$ or degrees. Therefore, from to there are of these sectors. Therefore, there are 2*30=60 degrees. To find the arc length, you use the equation:

$\frac{degrees}{360}*Circumference$

Now, we know:

$C=2\pi r$

We know that r=3 . Therefore, we can write our equation:

$\frac{60}{360}*2*\pi*3=\frac{1}{6}*6\pi=\pi$

Report an Error

All GRE Math Resources

13 Diagnostic Tests 452 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Statistics Tutors in Phoenix, Reading Tutors in San Diego, Statistics Tutors in Chicago, GRE Tutors in Atlanta, Math Tutors in Miami, Statistics Tutors in Seattle, ISEE Tutors in San Diego, Math Tutors in Atlanta, LSAT Tutors in Washington DC, French Tutors in Denver

Popular Courses & Classes

GRE Courses & Classes in Miami, ACT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Denver, SAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Boston, ACT Courses & Classes in Boston, LSAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Seattle, Spanish Courses & Classes in Los Angeles

Popular Test Prep

LSAT Test Prep in Chicago, GMAT Test Prep in Atlanta, SAT Test Prep in Atlanta, GRE Test Prep in New York City, LSAT Test Prep in Philadelphia, SSAT Test Prep in Phoenix, ISEE Test Prep in Los Angeles, MCAT Test Prep in Philadelphia, GRE Test Prep in Houston, ACT Test Prep in Boston

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)

Email address:
Your name:
Feedback:

GRE Math : How to find the distance between clock hands

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #3 : How To Find The Distance Between Clock Hands

Example Question #5 : How To Find The Distance Between Clock Hands

Example Question #4 : How To Find The Distance Between Clock Hands

All GRE Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details