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In this section, students learn the relationships between measures of some different parts of circles. First, students analyze circle sectors and find sector areas and arc lengths. Students then investigate the relationships between angle measure, radius, and arc length to find unknown information about given circles. Next, students experience a progression of learning about the relationship between arc length and...
In this section, students learn to use circles to determine characteristics of triangles and other polygons. First, students work with circumscribed circles to find angle measures and properties of cyclic quadrilaterals. Students then use the circumscribed circle of a triangle, along with their understanding of perpendicular bisectors from previous units, to conclude that all three of the triangle’s perpendicular bisectors...