Wednesday, June 5, 2013

What is Geometry Used For

Introduction:
Geometry 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. Here in this topic we are going to see what is geometry used for.

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Uses of geometry:


In home or a building geometry is useful in the improvement of projects. For example, to find the area of the floor, height of a building, to place tiles of particular dimension in a particular area, to place furniture in a required place, estimating the fabric needed, to paint the wall how much paint is needed. Geometry is also used to measure volumes. For example, amount of water needed in the fish tank, volume of the paint the wall by the surface area.

Geometry has many uses to find the size, shape, volume, or position of an object. As a school subject, it helps develop logical reasoning. Architects and engineers use geometry in planning buildings, bridges, and roads. Geometry is used by navigators to guide boats, planes, and even space ships. Military personnel use geometry to guide vessels and aim guns and missiles. Almost everything you do in your daily life involves geometry in some way.

Understanding wb primary is always challenging for me but thanks to all math help websites to help me out.

Some problems in geometry:


1) Find the volume paint used to paint the wall. The paint tin in the form of  a cylinder with radius 12 cm and height 19 cm

Given:                     radius r = 12 cm

                                height h = 19 cm  

Solution:

volume of paint = volume of the cylinder

         Volume of a cylinder  =  `pi` r^2 h

                                                =  3.14 (12)^2 19

                                                = 3.14 (144) 19

                                                = 8591.04 cm^3

Therefore the volume of the pait needed to paint the wall is 8591.04 cm^3.

2) A road roller is cylindrical in shape. The radius of the road roller is 35cm. Its length is 120cm. Find the surface area?

Solution

Given: r = 35cm, h = 120cm.

(i) The surface area = 2`pi` r (h +r)

                                = 2`pi` × 35 ( 120 + 35 )

                                = 34,100 cm2.