arc length 30 videos
-
Arc Length
Geometry Circles
How to define arc length and how it is different from arc measure; how to calculate the length of an arc.
arc length arc measure concentric circles fraction circumference radius diameter -
Central Angles and Intercepted Arcs
Geometry Circles
How to define a central angle and find the measure of its intercepted arc; how to describe the intercepted arcs of congruent chords.
chord central angle intercepted arc arc measure congruent chords side side side shortcut -
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 -
Angles in Semicircles and Chords to Tangents
Geometry Circles
How to prove that an angle inscribed in a semicircle is a right angle; how to solve for arcs and angles formed by a chord drawn to a point of tangency.
inscribed angle semicircle tangent chord intercepted arc -
Introduction to the 3D Coordinate System
Precalculus Vectors and Parametric Equations
How to define the components and length of a position vector in three dimensions.
axes coordinates position vector components magnitude length distance origin -
Inscribed Angles
Geometry Circles
How to calculate the measure of an inscribed angle.
inscribed angle intercepted arc central angle congruent arcs -
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 -
Triangle Side Inequalities
Geometry Triangles
How to determine the triangle side inequalities.
shortest distance side length inequalities -
-
RFLP - DNA Fingerprinting
Biology Molecular Biology
The RFLP method of DNA Fingerprinting.
RFLP DNA fingerprinting restriction fragment length polymorphism -
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 -
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 -
Types of Triangles
Geometry Geometry Building Blocks
How to classify a triangle based on its side lengths and angle measures.
equiangular equilateral isosceles right acute obtuse triangles -
Trapezoid Midsegment Properties
Geometry Polygons
How to define the midsegment of a trapezoid, calculate its length, and relate it to a triangle midsegment.
midsegment trapezoid average bases midpoint -
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 -
Angle Bisectors and Opposite Side Ratios
Geometry Similarity
How to relate the sides of an angle bisected and the lengths of the opposite side.
angle bisector opposite side ratio proportion -
Similarity and Area Ratios
Geometry Similarity
How to convert between length and area ratios of similar polygons
polygons similar area ratios -
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 -
Algebraic Representation of Vectors
Precalculus Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
position vector vector components horizontal component vertical component component form magnitude length -
Unit Vectors
Precalculus Vectors and Parametric Equations
How to express a vector algebraically in terms of the unit vectors i and j.
unit vectors length magnitude the unit vectors i and j vector addition scalar multiplication component form
