3-dimensional points

Angle Ratio for a Triangle

Annulus

Bretschneiders Formula

Cardioid

Cevian Triangle Relations

Chord

Circles

Clock Angle

Clock Hands Meet

Cones

Consecutive Interior Angles

Cost Function

Cube

Cuboid

Cylinders

Decagon

Equilateral Triangle

Euclidean Geometry

Eulers Formula for Planar Geometry

Geometric Mean of a Triangle

Golden Ratio

Hemisphere

Heptagon

Hexagon

Isosceles Triangle

Kites

Nonagon

Octagon

Pentagons

Pick's Theorem

Plane Geometry Operations

Polygon Side

Polygons

Pyramids

Quadrilateral

Rectangles and Parallelograms

Rectangular Solid

Rhombus

Right Triangles

Special Triangles: Isosceles and 30-60-90

Spheres

Squares

Tetrahedron Marble Problem

Torus

Trapezoids

Triangle Coordinate Items

Triangle Inequality

Triangles

Two Column Proof

What is a Line

What is a Perpendicular Bisector

What is a Point

What is a Ray

What is a Segment

What is an Angle

Calculates distance between two 3-dimensional points

(x_{1}, y_{1}, z_{1}) and (x_{2}, y_{2}, z_{2}) as well as the parametric equations and symmetric equations

Calculator · Watch the Video(x

Angle Ratio for a Triangle

Given an angle ratio for a triangle of a:b:c, this determines the angle measurements of the triangle.

Calculator · Watch the VideoAnnulus

Calculates the area of an annulus and the equation of the annulus using the radius of the large and small concentric circles.

Calculator · Watch the VideoBretschneiders Formula

Calculates the area of a quadrilateral using Bretschneiders Formula

Calculator · Watch the VideoCardioid

Shows you the area, arc length, polar equation of the horizontal cardioid, and the polar equation of the vertical cardioid

Calculator · Watch the VideoCevian Triangle Relations

Given a triangle with a cevian, this will solve for the cevian or segments or sides based on inputs

CalculatorChord

Solves for any of the 3 items in the Chord of a Circle equation, Chord Length (c), Radius (r), and center to chord midpoint (t).

CalculatorCircles

Calculates and solves for Radius, Diameter, Circumference, and Area of a Circle.

Calculator · Watch the VideoClock Angle

Calculate the angle on a clock between the hour and minute hands or how many times on the clock form an angle of (x°) between the minute and hour hand (backwards and forwards). Clock Angle Calculator

Calculator · Watch the VideoClock Hands Meet

Calculates the first time on a clock when the hands will meet or touch again.

Calculator · Watch the VideoCones

Calculates and solves for Radius, height, Volume (Capacity), Lateral Area, and Surface Area of a Cone.

CalculatorConsecutive Interior Angles

Shows you a proof of consecutive interior angles using parallel lines and a transversal

LessonCost Function

Creates a cost function from cost word problems

CalculatorCube

Solves for Volume (Capacity), Lateral Area,Surface Area, and the value of a side for a cube.

Calculator · Watch the VideoCuboid

Calculates the volume, surface area, diagonals, and space diagonal for a cuboid

Calculator · Watch the VideoCylinders

Calculates and solves for Radius, Diameter, Volume (Capacity), Lateral Area, and Surface Area of a Cylinder.

CalculatorDecagon

Solves for the side, perimeter, and area of a decagon.

Calculator · Watch the VideoEquilateral Triangle

Given a side (a), this calculates the following items of the equilateral triangle:

* Perimeter (P)

* Semi-Perimeter (s)

* Area (A)

* altitudes (h_{a},h_{b},h_{c})

* medians (m_{a},m_{b},m_{c})

* angle bisectors (t_{a},t_{b},t_{c})

* Circumscribed Circle Radius (R)

* Inscribed Circle Radius (r)

Calculator · Watch the Video* Perimeter (P)

* Semi-Perimeter (s)

* Area (A)

* altitudes (h

* medians (m

* angle bisectors (t

* Circumscribed Circle Radius (R)

* Inscribed Circle Radius (r)

Euclidean Geometry

Shows you the area, arc length, polar equation of the horizontal cardioid, and the polar equation of the vertical cardioid

LessonEulers Formula for Planar Geometry

This calculator solves for any one of the 3 following items using Eulers Formula for planar geometry:

* Vertices (v)

* Faces (f)

* Edges (e)

Calculator · Watch the Video* Vertices (v)

* Faces (f)

* Edges (e)

Geometric Mean of a Triangle

Given certain segments of a special right triangle, this will calculate other segments using the geometric mean

Calculator · Watch the VideoGolden Ratio

Solves for 2 out of the 3 variables for a segment broken in 2 pieces that satisfies the Golden Ratio (Golden Mean).

(a) Large Segment

(b) Small Segment

(a + b) Total Segment

Calculator · Watch the Video(a) Large Segment

(b) Small Segment

(a + b) Total Segment

Hemisphere

Calculates the base circumference, volume, curved surface area, base surface area, total surface area of a hemisphere with radius r

Calculator · Watch the VideoHeptagon

Solves for side length, perimeter, and area of a heptagon.

CalculatorHexagon

This calculator solves for side length (s), Area (A), and Perimeter (P) of a hexagon given one of the 3 entries.

Calculator · Watch the VideoIsosceles Triangle

Given a long side (a) and a short side (b), this determines the following items of the isosceles triangle:

* Area (A)

* Semi-Perimeter (s)

* Altitude a (ha)

* Altitude b (hb)

* Altitude c (hc)

Calculator · Watch the Video* Area (A)

* Semi-Perimeter (s)

* Altitude a (ha)

* Altitude b (hb)

* Altitude c (hc)

Kites

This calculates perimeter and/or area of a kite given certain inputs such as short and long side, short and long diagonal, or angle between short and long side

CalculatorNonagon

Calculates the side, perimeter, and area of a nonagon

CalculatorOctagon

Calculate side, area, and perimeter of an octagon based on inputs

CalculatorPentagons

Given a side length and an apothem, this calculates the perimeter and area of the pentagon.

Calculator · Watch the VideoPick's Theorem

This calculator determines the area of a simple polygon using interior points and boundary points using Pick's Theorem

Calculator · Watch the VideoPlane Geometry Operations

Evaluates and simplifies various plane geometry notation and operations

CalculatorPolygon Side

Determines the sides of a polygon given an interior angle sum.

CalculatorPolygons

Using various input scenarios of a polygon such as side length, number of sides, apothem, and radius, this calculator determines Perimeter or a polygon and Area of the polygon.
This also determines interior angles of a polygon and diagonals of a polygon as well as the total number of 1 vertex diagonals.

CalculatorPyramids

Solves for Volume (Capacity), Surface Area, height, or radius of a Pyramid.

CalculatorQuadrilateral

Given 4 points entered, this determines the area using Brahmaguptas Formula and perimeter of the quadrilateral formed by the points as well as checking to see if the quadrilateral (quadrangle) is a parallelogram.

Calculator · Watch the VideoRectangles and Parallelograms

Solve for Area, Perimeter, length, and width of a rectangle or parallelogram and also calculates the diagonal length as well as the circumradius and inradius.

Calculator · Watch the VideoRectangular Solid

Solves for Volume (Capacity) of rectangular solid

Lateral Area of rectangular Solid

Surface Area of rectangular solid.

Calculator · Watch the VideoLateral Area of rectangular Solid

Surface Area of rectangular solid.

Rhombus

Given inputs of a rhombus, this calculates the following:

Perimeter of a Rhombus

Area of a Rhombus

Side of a Rhombus

Calculator · Watch the VideoPerimeter of a Rhombus

Area of a Rhombus

Side of a Rhombus

Right Triangles

This solves for all the pieces of a right triangle based on given inputs using items like the sin ratio, cosine ratio, tangent ratio, and the Pythagorean Theorem as well as the inradius.

CalculatorSpecial Triangles: Isosceles and 30-60-90

Given an Isosceles triangle (45-45-90) or 30-60-90 right triangle, the calculator will solve the 2 remaining sides of the triangle given one side entered.

Calculator · Watch the VideoSpheres

Calculates and solves for Volume (Capacity), Surface Area, and Radius of a Sphere.

CalculatorSquares

Solve for Area of a square, Perimeter of a square, side of a square, diagonal of a square.

Calculator · Watch the VideoTetrahedron Marble Problem

Word problem using marbles in a cylinder jar that forms a tetrahedron.

CalculatorTorus

Calculates the volume of a torus and surface area of a torus given major radius and minor radius.

Calculator · Watch the VideoTrapezoids

This calculator determines the following items for a trapezoid based on given inputs:

* Area of trapezoid

* Perimeter of a Trapezoid

Calculator* Area of trapezoid

* Perimeter of a Trapezoid

Triangle Coordinate Items

Enter 3 points for the vertices of a triangle, and this will calculate the area of that triangle and the centroid.

Calculator · Watch the VideoTriangle Inequality

This calculator displays 2 scenarios

1) Enter 3 sides of a triangle, and it will determine if the side lengths satisfy the properties of the triangle inequality and form a triangle

2) Enter 2 sides of a triangle, and this will determine an acceptable range for the length of the 3rd side of a triangle so that the 3rd side respects the Triangle Inequality.

Calculator · Watch the Video1) Enter 3 sides of a triangle, and it will determine if the side lengths satisfy the properties of the triangle inequality and form a triangle

2) Enter 2 sides of a triangle, and this will determine an acceptable range for the length of the 3rd side of a triangle so that the 3rd side respects the Triangle Inequality.

Triangles

This lesson walks you through the basics of a triangle and shows you triangle types like acute, right, obtuse, scalene, isosceles, equilateral.

Lesson · Watch the VideoTwo Column Proof

Shows you the details behind a two column proof including the five parts and examples

LessonWhat is a Line

This lesson walks you through what a line is and the various implications of a line in geometry

Lesson · Watch the VideoWhat is a Perpendicular Bisector

This lesson walks you through what a perpendicular bisector is and the various properties of the segment it bisects and the angles formed by the bisection

Lesson · Watch the VideoWhat is a Point

This lesson walks you through what a point is and the various implications of a point in geometry

Lesson · Watch the VideoWhat is a Ray

This lesson walks you through what a Ray is and the various implications of a ray in geometry

Lesson · Watch the VideoWhat is a Segment

This lesson walks you through what a segment is and the various implications of a segment in geometry including the midpoint of a segment.

Lesson · Watch the VideoWhat is an Angle

This lesson walks you through what an angle is and how to use it

Lesson · Watch the Video