Geometry
Activity:
Exploring the Area of a Circle
Posted on Feb 25, 2010
Topic: Circles
Students explore the relationship between the area and radius of a circle.
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Activity Key Steps:
Students investigate the area of a circle by creating a scatterplot for the radius and area data of a circle.
Students graph the values captured and stored in the spreadsheet. They then graph y = x² and transform it to fit their data.
Students then find the equation of the parabola. They will see it as y = 3.14(x)2. Students then find the quadratic regression to verify their equation.
At the end of this activity, students will be able to verify the circumference and area formulas for a circle using technology.