Welcome to the Mathematics library, where you'll find loads of handy maths calculations and explanatory content for you to browse and use.

They're great for using as a base for a project. If you'd like to make any calc your own, just duplicate it into your workspace, and it's yours!

Square, Cube, Square Root and Cubic Root Calculator

Maths Calculations

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Here you can find pre-built calculation and design templates from all kinds of different disciplines and areas. You can use them as is or duplicate them into your own workspaces and make them your own!

Calculation Templates

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Calculation templates

This page provides some insight into the Pythagorean theorem, and provides some functions to help you calculate triangle dimensions!

💬 We'd love your feedback on this template! 

Pythagorean theorem fundamental geometric relationship between three sides of a right angled triangle. It states that the area of the square whose side is the hypotenuse (c) is equal to the sum of the areas of the squares on the other two sides (a and b). Given this relationship, we can derive an equation relating the lengths of the sides a, b and the hypotenuse c:

Need a side other than the hypothenuse? Check this calc out:

Determine the length of a side

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Pythagorean theorem calculator

A sphere is a geometrical object, a three-dimensional counterpart of a two-dimensional circle. 

The set of points in three-dimensional space at the same distance r from a given point is called a sphere. That particular point is the sphere's centre, and r is the sphere's radius.

In this calculation, we will use basic geometry principles to find a sphere's surface area and volume. 

Sphere: Surface Area & Volume

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A dodecahedron is a three-dimensional solid figure with 12 flat faces. It is one of the five Platonic solids, which are regular polyhedra. 

In this calculation, we will use basic geometry principles to find the surface area and volume of a dodecahedron. 

To do this, we will use the length of each of the dodecahedron's edges to calculate the area of each face. 

Once the area of each face is known, we can calculate the total surface area and volume of the dodecahedron.

Dodecahedron: Surface Area & Volume

🏁 CalcTree's Free-To-Use Dodecahedron Surface Area & Volume Calculator helps you calculate the area and volume of any dodecahedron. Try it now!

A cylinder is a three-dimensional object with two flat circular faces joined by a singular curved surface.

In this calculation, we will use basic geometry principles to find a cylinder's surface area and volume. 

Cylinder: Surface Area & Volume

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Arc length is a measure of the distance along the curved line of a circle and is an important concept in mathematics. This calculation will define the arc length of a circle given the radius and the angle formed by the arc.Calculation

The equation for the area of the sector it creates is:

Where θ is the central angle in radians and r is the radius of the circle.

Area of a circle sector calculator | Calculate Arc Length

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Welcome! In this calculation, we will use the radius of a circle to find its diameter, area, and circumference. This calculation is a great way to get a better understanding of circles, as well as to practice using the radius to calculate other properties of the circle. Let's begin!

Diameter refers to a straight line that reaches from one point on the edge of a round shape or object, through its centre, to a point on the opposite edge.

Similar to the term 'perimeter' of polygons, circumference is the linear distance of a circle's edge. However, the term perimeter is not used for circles. 


Circle Dimension Calculator

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This page provides some insight into determining the area of a right-angled triangle and provides some functions to help you calculate triangle dimensions!

A right-angled triangle is a triangle where one of the angles is a right angle (90 degrees).

In a right-angled triangle, the side opposite to the right angle is called the hypotenuse, and the other two sides are called the legs. The two legs can be interchangeably called base and height. The area of the right-angle triangle formula is

Right Triangle Calculator

🏁 Calculate the area of a triangle using Heron's Formula with CalcTree's Free-To-Use right triangle calculator. Easy-to-use tool. Calculate now

This page provides some insight into determining the area, height and perimeter of an equilateral triangle, and provides some functions to help you calculate triangle dimensions!

The perimeter of an equilateral triangle is given by 

Equilateral triangle Calculator

🏁 Use CalcTree's Free-To-Use Right Triangle Calculator to find the sides, angles, perimeter and area of a right triangle. Calculate now

This page provides some insight into Heron's formula and provides some functions to help you calculate the area of a triangle by using it!

Heron’s formula is credited to Heron of Alexandria (c. 62 CE) and used for finding the area of a triangle in terms of the lengths of its sides. In symbols, if a, b, and c are the lengths of the sides:

Heron's Formula Calculator

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This page provides a simple calculation to determine the angles in a right-angled triangle using trigonometric identities.

Triangle Angle Calculation

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A cube is a three-dimensional solid figure with 6 flat faces, 8 corners and 12 edges.

In this calculation, we will use basic geometry principles to find the surface area and volume of a cube. 

The volume of a cube is the product of its three dimensions, which are all the same size and shape. To calculate the volume, you multiply the length of one side of the cube by itself three times. 

So, for a cube with a side length of "s", the formula for the volume is: 

Cube: Surface Area & Volume

🏁 CalcTree's Free-To-Use Cube Surface Area & Volume calculator helps you to quickly find the surface area, volume and diagonal of a cube.

Welcome to a handy Square, Cube, Square Root and Cubic Root Calculator! Simple input your parameter here ⬇️ 

🏁 Calculate square, cube, square root, and cubic root values with CalcTree's Free-To-Use online calculator. Simplify calculations. Calculators now!

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