Jada is finding the area of a sector with an angle $$\frac{\pi}{4}$$ radians and radius 8 units. She found the area of the whole circle, then found the fraction represented by the sector by dividing $$\frac{\pi}{4}$$ by 360. She multiplied this fraction by the total circle area. Do you agree with Jada’s strategy? Explain your reasoning.

No, I disagree with Jada's strategy, she should have divided by $$2\pi$$ instead of 360.

Yes, I agree with Jada's strategy.

Which of these pizza slices gives the best value (the most pizza per dollar spent)?

a slice with a radius of 6 inches, central angle of $$\frac{\pi}{4}$$ radians, and a cost of $1 per slice

a slice with a radius of 12 inches, central angle of 30 $\circ$ , and a cost of $3 per slice

a slice with a radius of 8 inches, central angle of 45 $\circ$ , and a cost of $2 per slice

a slice with a radius of 6 inches, central angle of $$\frac{\pi}{3}$$ radians, and a cost of $2 per slice

Several circles with central angles are described. Select all the circles for which the central angle defines arcs that have length $$6\pi$$ units.

radius 6 units, central angle 180 degrees

radius 18 units, central angle 60 degrees

radius 12 units, central angle 90 degrees

radius 4 units, central angle 270 degrees

radius 3 units, central angle 120 degrees

Geometry Circle Radian

Authored by Anthony Clark

Mathematics

6th Grade

CCSS covered

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

20 questions

Show all answers

OPEN ENDED QUESTION

1 min • 1 pt

Calculate the radian measure of a 225 degree angle. Use any method you like, including sketching in the circle diagram provided.

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.TF.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

5 units

Tags

CCSS.HSG.C.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

5 units

Tags

CCSS.HSG.C.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the measure (in radians) of a central angle of an arc with arc length 4 units and radius 3 units.

5 units

Tags

CCSS.HSG.C.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the diameter of the circle.

5 units

4 units

12.2 units

7.5 units

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is this statement right?
The blue line = circumference.

Yes

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Using the diagram above to identify the diameter of the circle.

81 units

13.5 units

10.1 units

101.3units

Tags

CCSS.HSG.GPE.A.1

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

20 questions

Quiz # 5 - Math-9

Quiz

•

9th Grade

20 questions

3A1 Mathematics Algebraic Expressions and Formulae

Quiz

•

8th - 9th Grade

20 questions

AP Statistics Vocabulary Quiz Chapters 1,2,3

Quiz

•

12th Grade

15 questions

Angles in a Quadrilaterals and Triangle

Quiz

•

8th Grade

15 questions

Year 7 Integers

Quiz

•

7th Grade

16 questions

Algebra GCSE+

Quiz

•

10th Grade

20 questions

Raons trigonomètriques (inicial)

Quiz

•

10th Grade

18 questions

5th Year Maths Test: The Circle

Quiz

•

5th - 6th Grade

Popular Resources on Wayground

7 questions

History of Valentine's Day

Interactive video

•

4th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

15 questions

Valentine's Day Trivia

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

20 questions

Writing Algebraic Expressions

Quiz

•

6th Grade

20 questions

Ratios/Rates and Unit Rates

Quiz

•

6th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

One Step Equations

Quiz

•

6th Grade

10 questions

Solving One Step Inequalities

Quiz

•

6th Grade

15 questions

Equivalent Ratios

Quiz

•

6th Grade

16 questions

2022 Winter Olympics Medal Table

Passage

•

6th - 8th Grade

20 questions

Writing Ratios & Identifying Equivalent Ratios

Quiz

•

6th Grade

Geometry Circle Radian

Calculate the radian measure of a 225 degree angle. Use any method you like, including sketching in the circle diagram provided.

Find the measure (in radians) of a central angle of an arc with arc length 4 units and radius 3 units.

Find the diameter of the circle.

Is this statement right?
The blue line = circumference.

Using the diagram above to identify the diameter of the circle.

A circle has radius 10 units. For each angle measure, find the area of a sector of this circle with that central angle.

Each circle has a shaded sector with a central angle measured in radians. What fraction of the circle is each sector?

Clare missed class and Jada is teaching her how to construct the circumscribed circle of a triangle. Here are the instructions Jada wrote.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Geometry Circle Radian

Calculate the radian measure of a 225 degree angle. Use any method you like, including sketching in the circle diagram provided.

Find the measure (in radians) of a central angle of an arc with arc length 4 units and radius 3 units.

Find the diameter of the circle.

Is this statement right?The blue line = circumference.

Using the diagram above to identify the diameter of the circle.

A circle has radius 10 units. For each angle measure, find the area of a sector of this circle with that central angle.

Each circle has a shaded sector with a central angle measured in radians. What fraction of the circle is each sector?

Clare missed class and Jada is teaching her how to construct the circumscribed circle of a triangle. Here are the instructions Jada wrote.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Is this statement right?
The blue line = circumference.