Geometry | Unit 7 | Lesson 8: Arcs and Sectors | Practice Problems
Quiz
•
Mathematics
•
6th Grade
•
Practice Problem
•
Hard
+5
Standards-aligned
Illustrative Mathematics
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10 questions
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1.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Match each number of slices with the resulting central angle measure of each slice.
A: 2
B: 3
C: 4
D: 5
E: 6
Tags
CCSS.4.MD.C.5B
CCSS.HSG.CO.A.1
2.
OPEN ENDED QUESTION
3 mins • 1 pt
A circle of radius 12 units is divided into 8 congruent slices. What is the area of each slice?
Evaluate responses using AI:
OFF
Tags
CCSS.HSG.C.B.5
3.
OPEN ENDED QUESTION
3 mins • 1 pt
A circle of radius 12 units is divided into 8 congruent slices. What is the arc length of each slice?
Evaluate responses using AI:
OFF
Tags
CCSS.HSG.C.B.5
4.
OPEN ENDED QUESTION
3 mins • 1 pt
Diego says, “To find arc length, divide the measure of the central angle by 360. Then multiply that by the area of the circle.“ Do you agree with Diego? Show or explain your reasoning.
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OFF
Tags
CCSS.HSG.C.B.5
5.
OPEN ENDED QUESTION
3 mins • 1 pt
The image shows a triangle. Sketch the inscribed and circumscribed circles for this triangle. Compare and contrast the 2 circles.
Evaluate responses using AI:
OFF
Tags
CCSS.HSG.C.A.3
6.
OPEN ENDED QUESTION
3 mins • 1 pt
Triangle ABC is shown with its inscribed circle drawn. The measure of angle ECF is 72 degrees. What is the measure of angle EGF? Explain or show your reasoning.
Evaluate responses using AI:
OFF
Tags
CCSS.HSG.C.A.2
7.
OPEN ENDED QUESTION
3 mins • 1 pt
How do the values of x and y compare? Explain your reasoning.
Evaluate responses using AI:
OFF
Tags
CCSS.HSG.CO.C.9
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