 ## Geometry Calculators: (56) lessons

3-dimensional points
Calculates distance between two 3-dimensional points
(x1, y1, z1) and (x2, y2, z2) as well as the parametric equations and symmetric equations
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Angle Ratio for a Triangle
Given an angle ratio for a triangle of a:b:c, this determines the angle measurements of the triangle.
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Annulus
Calculates the area of an annulus and the equation of the annulus using the radius of the large and small concentric circles.
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Bretschneiders Formula
Calculates the area of a quadrilateral using Bretschneiders Formula
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Cardioid
Shows you the area, arc length, polar equation of the horizontal cardioid, and the polar equation of the vertical cardioid
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Cevian Triangle Relations
Given a triangle with a cevian, this will solve for the cevian or segments or sides based on inputs
Calculator

Chord
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).
Calculator

Circles
Calculates and solves for Radius, Diameter, Circumference, and Area of a Circle.
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Clock 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
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Clock Hands Meet
Calculates the first time on a clock when the hands will meet or touch again.
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Cones
Calculates and solves for Radius, height, Volume (Capacity), Lateral Area, and Surface Area of a Cone.
Calculator

Consecutive Interior Angles
Shows you a proof of consecutive interior angles using parallel lines and a transversal
Lesson

Cost Function
Creates a cost function from cost word problems
Calculator

Cube
Solves for Volume (Capacity), Lateral Area,Surface Area, and the value of a side for a cube.
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Cuboid
Calculates the volume, surface area, diagonals, and space diagonal for a cuboid
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Cylinders
Calculates and solves for Radius, Diameter, Volume (Capacity), Lateral Area, and Surface Area of a Cylinder.
Calculator

Decagon
Solves for the side, perimeter, and area of a decagon.
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Equilateral Triangle
Given a side (a), this calculates the following items of the equilateral triangle:
* Perimeter (P)
* Semi-Perimeter (s)
* Area (A)
* altitudes (ha,hb,hc)
* medians (ma,mb,mc)
* angle bisectors (ta,tb,tc)
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Euclidean Geometry
Shows you the area, arc length, polar equation of the horizontal cardioid, and the polar equation of the vertical cardioid
Lesson

Eulers 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)
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Geometric Mean of a Triangle
Given certain segments of a special right triangle, this will calculate other segments using the geometric mean
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Golden 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
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Hemisphere
Calculates the base circumference, volume, curved surface area, base surface area, total surface area of a hemisphere with radius r
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Heptagon
Solves for side length, perimeter, and area of a heptagon.
Calculator

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

Nonagon
Calculates the side, perimeter, and area of a nonagon
Calculator

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

Pentagons
Given a side length and an apothem, this calculates the perimeter and area of the pentagon.
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Pick's Theorem
This calculator determines the area of a simple polygon using interior points and boundary points using Pick's Theorem
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Plane Geometry Operations
Evaluates and simplifies various plane geometry notation and operations
Calculator

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

Polygons
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.
Calculator

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

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.
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Rectangles 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.
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Rectangular Solid
Solves for Volume (Capacity) of rectangular solid
Lateral Area of rectangular Solid
Surface Area of rectangular solid.
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Rhombus
Given inputs of a rhombus, this calculates the following:
Perimeter of a Rhombus
Area of a Rhombus
Side of a Rhombus
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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.
Calculator

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

Squares
Solve for Area of a square, Perimeter of a square, side of a square, diagonal of a square.
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Tetrahedron Marble Problem
Word problem using marbles in a cylinder jar that forms a tetrahedron.
Calculator

Torus
Calculates the volume of a torus and surface area of a torus given major radius and minor radius.
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Trapezoids
This calculator determines the following items for a trapezoid based on given inputs:
* Area of trapezoid
* Perimeter of a Trapezoid
Calculator

Triangle Coordinate Items
Enter 3 points for the vertices of a triangle, and this will calculate the area of that triangle and the centroid.
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Triangle 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.
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Triangles
This lesson walks you through the basics of a triangle and shows you triangle types like acute, right, obtuse, scalene, isosceles, equilateral.
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Two Column Proof
Shows you the details behind a two column proof including the five parts and examples
Lesson

What is a Line
This lesson walks you through what a line is and the various implications of a line in geometry
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What 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
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What is a Point
This lesson walks you through what a point is and the various implications of a point in geometry
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What is a Ray
This lesson walks you through what a Ray is and the various implications of a ray in geometry
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What 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.
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What is an Angle
This lesson walks you through what an angle is and how to use it
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