• #### Cyclic Quadrilaterals and Parallel Lines in Circles - Concept

##### Math›Geometry›Circles
How to prove that opposite angles in a cyclic quadrilateral are congruent; how to prove that parallel lines create congruent arcs in a circle.
• #### The Circle - Problem 9

##### Math›Precalculus›Conic Sections
How to write the equation for a circle from the center and one point on the circle.
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• #### The Circle - Problem 9

##### Math›Algebra 2›Conic Sections
How to write the equation for a circle from the center and one point on the circle.
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• #### Equation of a Circle - Concept

##### Math›Trigonometry›Pythagorean Theorem
How to derive the equation for a circle using the distance formula.
• #### Parametrizing a Circle - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to write the parametric equations of a circle or semicircle centered at (0,0) with radius r, oriented clockwise.
• #### Cyclic Quadrilaterals and Parallel Lines in Circles - Problem 1

##### Math›Geometry›Circles
How to calculate angles in a cyclic quadrilateral given arc measures and two angle measures.
• #### Cyclic Quadrilaterals and Parallel Lines in Circles - Problem 2

##### Math›Geometry›Circles
How to calculate the measure of an arc created by a cyclic parallelogram.
• #### Calculating Coordinates in the Unit Circle - Concept

##### Math›Trigonometry›Pythagorean Theorem
How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
• #### Area of Circles - Problem 1

##### Math›Geometry›Area
How to calculate the area of a circle if a diameter is given.
• #### Calculating Coordinates in the Unit Circle - Concept

##### Math›Geometry›Pythagorean Theorem
How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
• #### Area of Circles - Problem 2

##### Math›Geometry›Area
How to find the circumference of a circle if the area is given.
• #### Equation of a Circle - Concept

##### Math›Geometry›Pythagorean Theorem
How to derive the equation for a circle using the distance formula.
• #### Equation of a Circle - Problem 2

##### Math›Geometry›Pythagorean Theorem
How to identify the center and radius of a circle given an equation.
• #### Equation of a Circle - Problem 2

##### Math›Trigonometry›Pythagorean Theorem
How to identify the center and radius of a circle given an equation.
• #### The Circle - Problem 8

##### Math›Algebra 2›Conic Sections
How to write the equation for a circle from a graph.
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• #### Circumscribed and Inscribed Circles and Polygons - Concept

##### Math›Geometry›Constructions
How to define circumscribed and inscribed circles and polygons relative to each other.
• #### The Circle - Problem 8

##### Math›Precalculus›Conic Sections
How to write the equation for a circle from a graph.
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• #### The Circle - Problem 7

##### Math›Precalculus›Conic Sections
How to write the equation for a circle from the endpoints of the diameter.
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• #### Regions Between Circles and Squares - Concept

##### Math›Geometry›Area
How to calculate the area between a square and an inscribed circle.
• #### The Circle - Problem 6

##### Math›Precalculus›Conic Sections
How to write the equation of a circle from a given radius and center.
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