Geometry (Ancient Greek: γεωμετρία; geo- "earth", -metria "measurement") "Earth-measuring" is a part of mathematics concerned with questions of size, shape, relative position of figures, and the properties of space. 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)
Short Basic Geometry Definitions:
Short Definition of Geometry for Square:
In mathematical geometry, a square consists of 4 equal angles every side which includes 90° and 4 equal sides. Square area is calculated by-product of two opposite sides.
Short Definition of Geometry for Rectangle:
In mathematical geometry, a rectangle is equal to the square, it consists of 4 equal angles with 90° and 4 equal sides. Rectangle area is calculated by using the product of length and width.
Short Definition of Geometry for Triangle:
In mathematical geometry, triangles consist of 3 straight lines that are equal length and it is called as equilateral triangle. Triangle area is calculated by half of the product of bottom and height.
Example for Short Definition of Geometry:
To solve the Rectangle problems:
Area of rectangle= Length x width.
Perimeter of rectangle= 2 (Length + Width)
Example 1:
Find the area of rectangle that sides measure 6 centimeters and 4 centimeters respectively.
Solution:
Given that
Length – 6 centimeter.
Breadth – 4 centimeter.
The formula used to find out the area of rectangle is = length * breadth.
Area = length * breadth.
Substitute the given value in the formula
Area = 6 * 4
The result of 6 and 4 = 24
Hence the area of the rectangle given is 24 square centimeter.
Example 2:
Find out the volume of the cube that sides measure 6 centimeter.
Solution:
Given that
Measure of cube length = 6.
The formula used to find out the volume of the cube is = a3.
While we insert the value in the formula we get the result is
Volume = 63.
= 216
Hence the volume of the given cube is 216 cubic centimeters.
To solve Square problems:
Perimeter of square= 2 * side
Area of square= side * side
Problem 3:
To find out the area and perimeter of square while side length is 4cm?
Solution:
Area of square = (side*side)
=4 * 4
=>16 cm2
Perimeter of square = 4 * side
= 4 * 4
= 16 cm
