Arcs and Sectors
Presentation
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Mathematics
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10th Grade
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Practice Problem
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Hard
Standards-aligned
Charles Dillard
Used 7+ times
FREE Resource
5 Slides • 9 Questions
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Find the area of the shaded portion of the circle, where r=8. Leave your answer in terms of pi.
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Find the length of the highlighted portion of the circle’s circumference., where r=8. Leave your answer in terms of pi.
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Find the area of the shaded portion of the circle., where r=6. Leave your answer in terms of pi.
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Fill in the Blanks
Find the length of the highlighted portion of the circle’s circumference, where r=6. Leave your answer in terms of pi.
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Open Ended
Find the area of the shaded sector and the length of the arc that outlines the sector.
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Open Ended
Find the area of the shaded sector and the length of the arc that outlines the sector.
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Open Ended
Find the area of the shaded sector and the length of the arc that outlines the sector.
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Open Ended
Mai says, “I know how to find the area of a sector or the length of an arc for central angles like 180 degrees or 90 degrees. But I don’t know how to do it for central angles that make up more complicated fractions of the circle.”
In the diagram, the sector’s central angle measures degrees and the circle’s radius is units. Use the diagram to tell Mai how to find the area of a sector and the length of an arc for any angle and radius measure.
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Open Ended
The image shows a circle with a shaded sector.
Find the area of the shaded sector.
Find the length of the arc defined by the sector.
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