the unit circle 24 videos

Calculating Coordinates in the Unit Circle
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.
graphing a rational expression 1/x asymptotes 
Area of Circles
Geometry Area
How to derive the formula to calculate the area of a circle.
circle radius circumference area 
Equation of a Circle
Geometry Pythagorean Theorem
How to derive the equation for a circle using the distance formula.
distance formula radius center circle 
Parts of a Circle
Geometry Geometry Building Blocks
How to define a circle and identify its main parts.
center chord diameter radius congruent circles concentric circles arc minor arc major arc semicircle central angle 
Regions Between Circles and Squares
Geometry Area
How to calculate the area between a square and an inscribed circle.
shaded region square circle radius 
Tangent Segments to a Circle
Geometry Circles
How to find the length of tangent segments drawn to a circle from the same point.
tangent congruent segments inscribed circle 
Locus and Definition of a Circle and Sphere
Geometry Circles
How to define a circle and a sphere using the word locus.
locus set of points distance plane circle sphere given 
Circumscribed and Inscribed Circles and Polygons
Geometry Constructions
How to define circumscribed and inscribed circles and polygons relative to each other.
vertex radius polygon inscribed circle circumscribed 
Similar Triangles in Circles and Right Triangles
Geometry Similarity
How to determine if two triangles in a circle are similar and how to prove that three similar triangles exist in a right triangle with an altitude.
similar inscribed angles intercepted arc right angle circle 
Chords and a Circle's Center
Geometry Circles
How to define a chord; how to describe the effect of a perpendicular bisector of a chord and the distance from the center of the circle.
chord perpendicular bisector distance from the center congruent chords 
Perimeter
Geometry Geometry Building Blocks
How to define perimeter and calculate it for squares, rectangles, and circles.
perimeter of a square rectangle and circle 
Cyclic Quadrilaterals and Parallel Lines in Circles
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.
inscribed angles cyclic quadrilaterals parallel lines alternate interior angles 
Area of a Sector
Geometry Area
How to derive the formula to calculate the area of a sector in a circle.
sector central angle intercepted arc circle radius area 
Circumference
Geometry Circles
How to calculate the circumference of a circle.
circumference pi distance radius diameter ratio 
Surface Area of Cylinders
Geometry Area
How to prove the surface area of a cylinder formula.
circle lateral area circumference 
Surface Area of Cones
Geometry Area
How to calculate the surface area of any cone explaining lateral surface area.
cone circle circumference lateral area lateral edge 
Surface Area of Joined Solids
Geometry Area
How to calculate the surface area of a cylinder joined to a cone.
joined solid cone cylinder lateral area circle 
Volume of Cones
Geometry Volume
How to compare the volume of a cone and a cylinder and how to calculate the volume of a cone given the radius and height.
volume base area height circle area 
Secants
Geometry Circles
How to define a secant; how to find the length of various secants in circles.
secant intercepted arcs proportion arc measure tangent chord