Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Math : Geometry

Study concepts, example questions & explanations for ISEE Upper Level Math

Create An Account

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #191 : Plane Geometry

Find the area of a circle with a diameter of 16in.

Possible Answers:

$36\pi \text{ in}^2$

$64\pi \text{ in}^2$

$128\pi \text{ in}^2$

$84\pi \text{ in}^2$

$96\pi \text{ in}^2$

Correct answer:

$64\pi \text{ in}^2$

Explanation:

To find the area of a circle, we will use the following formula:

$A = \pi r^2$

where r is the radius of the circle.

Now, we know the diameter is 16in. We also know the diameter is two times the radius. Therefore, the radius is 8in. So, we get

$A = \pi \cdot (8\text{in})^2$

$A = \pi \cdot 64\text{in}^2$

$A = 64\pi \text{ in}^2$

Report an Error

Example Question #51 : Circles

A circle has a diameter of 18cm. Find the area.

Possible Answers:

$324\pi \text{ cm}^2$

$36\pi \text{ cm}^2$

$124\pi \text{ cm}^2$

$81\pi \text{ cm}^2$

$64\pi \text{ cm}^2$

Correct answer:

$81\pi \text{ cm}^2$

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 the diameter of the circle is 18cm. We also know the diameter is two times the radius. Therefore, the radius is 9cm.

Knowing this, we can substitute into the formula. We get

$A = \pi \cdot (9\text{cm})^2$

$A = \pi \cdot 81\text{cm}^2$

$A = 81\pi \text{ cm}^2$

Report an Error

Example Question #1 : Circumference Of A Circle

What is the circumference of a circle with a radius equal to ?

Possible Answers:

$14\pi$

$196\pi$

$7\pi$

$49\pi$

Correct answer:

$14\pi$

Explanation:

The circumference can be solved using the following equation:

$C=2r\pi=2(7)\pi=14\pi$

Report an Error

Example Question #1 : Circumference Of A Circle

The radius of a circle is t^2 . Give the circumference of the circle in terms of .

Possible Answers:

$2\pi t^2$

$\pi t$

$4\pi t^2$

$\pi t^2$

$2\pi t$

Correct answer:

$2\pi t^2$

Explanation:

The circumference can be calculated as $Circumference =2\pi r$ , where is the radius of the circle.

$Circumference =2\pi r=2\pi t^2$

Report an Error

Example Question #2 : How To Find Circumference

The area of a circle is 25t^2 . Give the circumference of the circle in terms of .

Let $\pi=3.14$ .

Possible Answers:

20t

17.71 t^2

17.71t

20t^2

15t

Correct answer:

17.71t

Explanation:

The area of a circle can be calculated as $Area=\pi r^2$ , where is the radius of the circle.

$Area=\pi r^2\Rightarrow 25t^2=\pi r^2\Rightarrow r^2=\frac{25t^2}{\pi}$

$\Rightarrow r=\frac{5t}{\sqrt{\pi}}=\frac{5t}{\sqrt{3.14}}\approx 2.82t$

The circumference can be calculated as $Circumference =2\pi r$ , where is the radius of the circle.

$Circumference =2\pi r\Rightarrow Circumference =2\times 3.14\times 2.82t=17.71t$

Report an Error

Example Question #2 : Circumference Of A Circle

What is the circumference of a circle with a radius of ?

Possible Answers:

$8\pi$

$16\pi$

$28\pi$

$16\pi^{2}$

Correct answer:

$16\pi$

Explanation:

The circumference can be solved using the following equation:

$C=2r\pi$

Where represents the radius. Therefore, when we substitute our radius in we get:

$=2(8)\pi =16\pi$

Report an Error

Example Question #1 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

The perimeter of a given rectangle is equal to the circumference of a given circle. The circle has radius inches; the width of the rectangle is $8 \pi$ inches. What is the length of the rectangle?

Possible Answers:

$(30 - 8 \pi )$ inches

$44 \pi$ inches

$14 \pi$ inches

$22 \pi$ inches

$7\pi$ inches

Correct answer:

$22 \pi$ inches

Explanation:

The circumference of a circle with radius inches is

$C = 2 \pi r = 2 \pi \cdot 30 = 60 \pi$ inches.

The perimeter of the rectangle is therefore $60 \pi$ inches. To find its length, substitute $W = 8\pi$ and $P = 60\pi$ into the equation and solve for :

2 L + 2W = P

$2 L + 2 \cdot 8 \pi = 60 \pi$

$2 L + 16 \pi = 60 \pi$

$2 L + 16 \pi - 16 \pi = 60 \pi - 16 \pi$

$2 L =44 \pi$

$2 L \div 2=44 \pi \div 2$

$L = 22\pi$ inches

Report an Error

Example Question #191 : Geometry

Sector

The area of the shaded region in the above diagram is $72 \pi$ . Give the circumference of the circle.

Possible Answers:

$8 \pi$

$72 \pi$

$36 \pi$

$18 \pi$

Correct answer:

$36 \pi$

Explanation:

The shaded region is an $80 ^{\circ }$ sector; this represents

$\frac{80}{360} = \frac{80 \div 40 }{360\div 40} = \frac{2}{9}$

of the circle. The area of the region is therefore

$A = \frac{2}{9} \cdot \pi r^{2}$ ,

where is the radius. Setting $A = 72 \pi$ and solving for :

$\frac{2}{9} \cdot \pi r^{2} = 72 \pi$

$\frac{9}{2 \pi} \cdot \frac{2}{9} \cdot \pi r^{2} =\frac{9}{2 \pi} \cdot 72 \pi$

$r^{2} =324$

$r = \sqrt{324 } =18$

The circumference of a circle is its radius multiplied by $2 \pi$ , or

$C = 2 \pi r = 2 \pi \cdot 18 = 36 \pi$

Report an Error

Example Question #1 : How To Find Circumference

A circle has a radius of 5 miles, what is its circumference?

Possible Answers:

314 mi

$25 \pi mi$

125 mi

$10\pi mi$

Correct answer:

$10\pi mi$

Explanation:

A circle has a radius of 5 miles, what is its circumference?

To find circumference, use the following formula:

$Circumference=2\pi r$

Where r is our radius.

Plug in 5 miles to get our answer:

$Circumference=2\pi (5mi)=10 \pi mi$

Report an Error

Example Question #2 : How To Find Circumference

While mailing some very important letters, you decide to use your circular rubber stamp. If the stamp has a radius of 3.5 cm, what is the circumference of the stamping surface?

Possible Answers:

Cannot be determined from the information provided.

9.25cm

$7 \pi cm$

12.25 cm

Correct answer:

$7 \pi cm$

Explanation:

While mailing some very important letters, you decide to use your circular rubber stamp. If the stamp has a radius of 3.5 cm, what is the circumference of the stamping surface?

Find circumference via the following:

$C=2 \pi r$

Where r is our radius, which is 3.5 cm.

$C=2(3.5cm) \pi =7\pi cm$

Report an Error

View Tutors

Reuben
Certified Tutor

University of Alberta, Bachelor of Science, Mathematics.

View Tutors

Sundeep
Certified Tutor

Indian Institute of Technology, Engineering in Computer Science, Electrical Engineering. New York University, Masters in Busi...

View Tutors

Sujay
Certified Tutor

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Phoenix, GMAT Tutors in Houston, Math Tutors in Chicago, Reading Tutors in Denver, Computer Science Tutors in San Francisco-Bay Area, Reading Tutors in Miami, Spanish Tutors in Seattle, Physics Tutors in Houston, ISEE Tutors in Philadelphia, LSAT Tutors in San Francisco-Bay Area

Popular Courses & Classes

ISEE Courses & Classes in Chicago, Spanish Courses & Classes in Philadelphia, ACT Courses & Classes in San Diego, GRE Courses & Classes in Miami, GMAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Houston, GRE Courses & Classes in Atlanta, SAT Courses & Classes in Miami, ISEE Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Phoenix

Popular Test Prep

SAT Test Prep in Chicago, GMAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Denver, GRE Test Prep in Dallas Fort Worth, ACT Test Prep in New York City, LSAT Test Prep in Phoenix, SAT Test Prep in Phoenix, MCAT Test Prep in Seattle, LSAT Test Prep in Denver, SSAT Test Prep in Chicago

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

ISEE Upper Level Math : Geometry

Study concepts, example questions & explanations for ISEE Upper Level Math

All ISEE Upper Level Math Resources

Example Questions

Example Question #191 : Plane Geometry

Example Question #51 : Circles

Example Question #1 : Circumference Of A Circle

Example Question #1 : Circumference Of A Circle

Example Question #2 : How To Find Circumference

Example Question #2 : Circumference Of A Circle

Example Question #1 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Example Question #191 : Geometry

Example Question #1 : How To Find Circumference

Example Question #2 : How To Find Circumference

All ISEE Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: