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

Quiz

•

Mathematics

•

6th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.C.B.5, HSF.TF.A.1, HSG.GPE.A.1

+4

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

5 units

Tags

CCSS.HSG.C.B.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

5 units

Tags

CCSS.HSG.C.B.5

4.

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

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is this statement right?
The blue line = circumference.

Yes

No

7.

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

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Geometry Circle Radian

20 questions

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

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Geometry Circle Radian

20 questions

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.