Deriving the Area of a Sector

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Geometers use an activity about finding the area of a pizza to develop the formula for the area of a sector of a circle. They use the known formula for the area of a circle to find the area of a pizza with a given diameter. The worksheet gives step-by-step instructions that guide learners through finding the area of one piece of pizza when it's cut into equal pieces. Next, they investigate finding the area of pieces of pizza in unequal sizes determined by varying central angle measures. Finally, students generalize their findings and write the sector area formula using both degree and radian measures.    

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CCSS: Designed
Resource Details

Grade
9th - 11th
Subjects
Geometry
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Resource Types
Includes: Answer Key
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Duration
30 mins
Instructional Strategies
Discussion
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Common Core