We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : How to find the angle for a percentage of a circle

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

How many degrees are in $35\%$ of a circle?

Possible Answers:

$135^{\circ}$

$126^{\circ}$

$75^{\circ}$

$95^{\circ}$

$108^{\circ}$

Correct answer:

$126^{\circ}$

Explanation:

There are 360 degrees in a circleso the equation to solve becomes a simple percentage problem:

$x=0.35\cdot 360 = 126$

Report an Error

Example Question #1 : Circles

A sector contains $\small 12.5\%$ of a circle. What is the measure of the central angle of the sector?

Possible Answers:

$\small 12.5^\circ$

$\small 45^\circ$

$\small 8^\circ$

$\small 30^\circ$

$\small 22.5^\circ$

Correct answer:

$\small 45^\circ$

Explanation:

An entire circle is $\small 360^\circ$ . A sector that is $\small 12.5\%$ of the circle therefore has a central angle that is $\small 12.5\%$ of $\small 360^\circ$ .

$\small 12.5\%(360)=45$

Therefore, our central angle is $\small 45^\circ$

Report an Error

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

If you have 66.7 percent of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

100

120

210

66.7%

240

Correct answer:

240

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

Now you need to convert $66.7\%$ into a decimal.

$66.7\% \rightarrow \frac{66.7}{100}=0.667$

If you multiply 360 by 0.667, you get the degree measure that corresponds to the percentage, which is 240.

$360 \cdot 0.667=240$

Report an Error

Example Question #2 : How To Find The Angle For A Percentage Of A Circle

If you have $20\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

Correct answer:

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First convert $20\%$ into a decimal.

$20\% \rightarrow \frac{20}{100}=0.2$

If you multiply 360 by 0.20, you get the degree measure that corresponds to the percentage, which is 72.

$360 \cdot 0.2=72$

Report an Error

Example Question #3 : Plane Geometry

If you have $30\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

108

100

110

Correct answer:

108

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

In order to start this problem we need to convert the percent into a decimal.

$30\% \rightarrow \frac{30}{100}=0.3$

If you multiply 360 by 0.30, you get the degree measure that corresponds to the percentage, which is 108.

$360\cdot 0.3=108$

Report an Error

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

If you have $35\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

116

120

126

130

Correct answer:

126

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First convert the percent to decimal.

$35\% \rightarrow \frac{35}{100}=0.35$

Now if you multiply 360 by 0.35, you get the degree measure that corresponds to the percentage, which is 126.

$360 \cdot 0.35=126$

Report an Error

Example Question #7 : How To Find The Angle For A Percentage Of A Circle

If you have $90\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

330

300

344

324

Correct answer:

324

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First convert the percentage into a decimal.

$90\% \rightarrow \frac{90}{100}=0.9$

If you multiply 360 by 0.90, you get the degree measure that corresponds to the percentage, which is 324.

$360 \cdot 0.90=324$

Report an Error

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

If you have $45\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

162

180

162

170

Correct answer:

162

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First we need to convert the percentage into a decimal.

$45\% \rightarrow \frac{45}{100}=0.45$

If you multiply 360 by 0.45, you get the degree measure that corresponds to the percentage, which is 162.

$360 \cdot 0.45=162$

Report an Error

Example Question #2 : How To Find The Angle For A Percentage Of A Circle

If you have $37.5\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

37.5

140

135

Correct answer:

135

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

In order to solve this problem we first need to convert the percentage into a decimal.

$37.5\% \rightarrow \frac{37.5}{100}=0.375$

If you multiply 360 by 0.375, you get the degree measure that corresponds to the percentage, which is 135.

$360 \cdot 0.375=135$

Report an Error

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

If you have $70\%$ of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

280

250

252

262

Correct answer:

252

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First we need to convert the percentage into a decimal.

$70\% \rightarrow \frac{70}{100}=0.7$

If you multiply 360 by 0.70, you get the degree measure that corresponds to the percentage, which is 252.

$360 \cdot 0.7 =252$

Report an Error

View Tutors

Donald
Certified Tutor

Bowling Green State University-Main Campus, Bachelor of Science, Geology. Bowling Green State University-Main Campus, Master ...

View Tutors

Thomas
Certified Tutor

California State University-Dominguez Hills, Bachelor in Arts, Studio Arts. University of California-San Diego, Doctor of Phi...

View Tutors

Christy
Certified Tutor

York University, Bachelor in Arts, Psychology.

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Reading Tutors in Phoenix, French Tutors in New York City, Biology Tutors in Seattle, GMAT Tutors in Phoenix, Statistics Tutors in Atlanta, LSAT Tutors in Atlanta, SSAT Tutors in San Diego, Statistics Tutors in Houston, Math Tutors in Miami, Calculus Tutors in Boston

Popular Courses & Classes

SSAT Courses & Classes in Houston, ISEE Courses & Classes in Chicago, SSAT Courses & Classes in Chicago, MCAT Courses & Classes in Houston, SAT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Miami, Spanish Courses & Classes in Atlanta, ACT Courses & Classes in New York City, SSAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Denver

Popular Test Prep

SSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Seattle, GRE Test Prep in Seattle, ACT Test Prep in New York City, SSAT Test Prep in Houston, LSAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Washington DC, SSAT Test Prep in San Diego, LSAT Test Prep in Chicago, SSAT 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

Intermediate Geometry : How to find the angle for a percentage of a circle

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

Example Question #1 : Circles

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

Example Question #2 : How To Find The Angle For A Percentage Of A Circle

Example Question #3 : Plane Geometry

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

Example Question #7 : How To Find The Angle For A Percentage Of A Circle

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

Example Question #2 : How To Find The Angle For A Percentage Of A Circle

Example Question #1 : How To Find The Angle For A Percentage Of A Circle

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: