Examples for

Common Core Math: High School Geometry: Circles

In high school, students define and describe measurements of circles, using terms like radius, diameter, chord and tangent. Students compute arc length and sector area and apply theorems involving central, inscribed and circumscribed angles. Students also use angles to analyze circles and their relationships to other shapes, including by constructing inscribed and circumscribed circles of triangles and quadrilaterals.

Common Core Standards

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Inscribed & Circumscribed Circles

Relate circles to other geometric figures.

Inscribe circles within polygons (CCSS.Math.Content.HSG-C.A.3):

Find circumcircles surrounding polygons (CCSS.Math.Content.HSG-C.A.3):

Measurements in Circles

Define and compute measurements and properties of circles.

Prove that all circles are similar (CCSS.Math.Content.HSG-C.A.1):

Recognize and apply properties of angles in circles (CCSS.Math.Content.HSG-C.A.2):

Find lines tangent to a circle (CCSS.Math.Content.HSG-C.A.4):

Compute arc lengths and sector areas (CCSS.Math.Content.HSG-C.B.5):