Common Core: High School - Geometry : Circles

Study concepts, example questions & explanations for Common Core: High School - Geometry

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All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #228 : High School: Geometry

What is the measure of an inscribed angle with an arc measurement of ?

Possible Answers:

Correct answer:

Explanation:

The inscribed angle is simply half the arc measurement.

Example Question #229 : High School: Geometry

What is the measure of an inscribed angle with an arc measurement of ?

Possible Answers:

Correct answer:

Explanation:

The inscribed angle is simply half the arc measurement.

Example Question #230 : High School: Geometry

What is the measure of an inscribed angle with an arc measurement of ?

Possible Answers:

Correct answer:

Explanation:

The inscribed angle is simply half the arc measurement.

Example Question #231 : High School: Geometry

What is the measure of an inscribed angle with an arc measurement of ?

Possible Answers:

Correct answer:

Explanation:

The inscribed angle is simply half the arc measurement.

Example Question #1 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3


From the following picture, determine , and .


Plot2

 

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot2

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for , and .

Now let's solve for , and .

Example Question #2 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine  and .


Plot3

 

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot3

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for   and .

Now let's solve for   and .

Example Question #3 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine  and .


Plot4

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot4

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for   and .

Now let's solve for  and .

Example Question #4 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine  and .


Plot5

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot5

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for  and .

Now let's solve for  and .

 

 

Example Question #1 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine  and .


Plot6

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot6

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for  and .

Now let's solve for   and .

 

Example Question #2 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine , and .

Plot7

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot7

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for , and .

Now let's solve for , and .

All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept
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