Wednesday, April 24, 2013

Online Geometry Calculator

Introduction to Geometry:-

Geometry "Earth-measuring" is a part of mathematics concerned with questions of size, shape, relative position of figures, and the properties of space. Geometry is one of the oldest sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the 3rd century BC geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow.                                                                                                                                                                            Source: - Wikipedia.

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Online geometry calculator - Example problems:


Online geometry calculator - Problem 1

Calculate the area of rectangle whose side’s measure 12 centimeters and 8 centimeters respectively.

Solution:-

Given

Length – 12 centimeter.

Breadth – 8 centimeter.

The formula used to find the area of rectangle is length * breadth.

Area = length * breadth.

By plugging the given values in to the formula.

We get,

Area   = 12 * 8

The product of 12 and 8 yields 96 so the area of the given rectangle is 96 square centimeter.

Online geometry calculator - Problem 2

Calculate the volume of the cube  whose side measure 12 centimeter.

Solution:-

Given:-

Measure of cube length = 12.

The formula used to find the volume of the cube is `a^3` .

By plugging the value in to formula we get the result as

Volume =  `12 ^3` .

=  1728.

So the volume of given cube is 1728 cubic centimeters.

Online geometry calculator - Problem 3

Calculate the volume of the cylinder which has the height is 12 centimeter and radius of 6 centimeter.

Solution:-

Given:-

Height = 12 centimeter.

Radius = 6 centimeter.

The formula used to calculate the volume of the cylinder is  `pi r^2 h`



`Volume = pi r^2 h`

r– radius of the cylinder

H – height of the cylinder.

By plugging in the given values in to the formula we get

` Volume = pi (6)^2 * 12`

`6^2` can be written as 6 * 6 = 36

Volume = `pi` 36 * 12

The product of 36 and 12 is 432

Volume =` pi` 432.

So the volume of the given cylinder is `432pi`

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Online geometry calculator - Practice Problems:


Problem 1

Calculate the volume of the cylinder which has the height is 2 centimeter and radius of 1 centimeter.

Answer:-

2`pi` .

Problem 2

Calculate the area of rectangle whose side’s measure 14 centimeters and 2 centimeters respectively.

Answer:-

28.

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