Monday, July 26, 2010

Diameter of a circle


A very interesting topic Diameter of a circle. Do you know how to calculate the area of a circle? Well it is already been explained to you right. I am sure you guys are aware of it. Now lets learn how to calculate the diameter of a circle.

The formula to find the diameter of a circle is as below.

Diameter (d) = 2r.

Lets look at an example below.

Problem No1:-

The circle has the radius 5 meter .find the diameter of the circle.

Observe this problem the radius is already given to you, and we need to find the diameter now.

Radius = 5 meter.
Here, the radius of the circle is given.
Formula to find the diameter = 2r
r = radius
= 2 x 5
=10
The radius of the circle = 10 meters.
Do you have some more examples for circles, look at the globe isn't it a perfect round. Geometry in real life is very important.


Friday, July 16, 2010

Area of a on parallelogram area theorem

Good evening my friends... what is Theorem on Area of Triangle? This is the topic for the day.

Firstly tell me if you remember what is Pythagoras theorem? By now you are aware of it right. I have also explained you what is binomial theorem also earlier.


Theorem of area of triangle can be explained with the help of a problem below.

Lets look at this theorem

ABRS and PQRS are parallelograms. X is any point on BR.

a) Show that area of ABRS = area of PQRS
b) Show that area of ASX = ½ (PQRS)
Solution:
a) Parallelogram ABRS and parallelogram PQRS lie on the same base SR and between the same parallel lines and hence they have equal area. Hence, area of ABRS = area of PQRS
b)Area of ΔASX = ½ × AS × height = ½ (area of ASRB)
If a triangle and a parallelogram are on the same base and between the same parallels, then the area of the triangle is equal to half the area of the parallelogram.
But area of ASRB = area of PSRQ, as they are on the same base and between the same parallel lines.
Hence, area of ASX = ½ (PQRS)
We have many 10th grade geometry help given online these day, friends take the help of these sites.

Tuesday, July 13, 2010

Uses of Geometry

Hi Guys, Mathematics has a vast knowledge in it. It is just like a ocean. The subject i enjoyed in my childhood was Geometry. I use to enjoy mathematics constructions a lot.

You can go through my previous post which gives you information on geometrical instruments. Lets see how important geometry is? Lets look at the uses of geometry now.

Uses of Geometry:- It is basically used for math construction commonly called as geometrical constructions. It is not possible to construct anything without geometry. It is used to find the area of any geometrical shape, find its volume, angles, length of the geometrical shapes.

Geometry is used in our day to day life too, it is used for plans which has to be made for roads, bridges etc. It is also used by the carpenter too to form a angle of the furniture. In the military fields also it is used to guide vessels and aim guns and missiles.

Friends look at the uses we have by studying geometry, we have free online geometry help these days, you just have to fetch of these sites and take their helps. Increase your knowledge by looking at these sites. Give me your views on this post.

Friday, July 9, 2010

Geometrical instruments



Good Afternoon my dear little friends!!


How good are you in Geometry? Its good to see that we have many geometry problem solver these days online. Have you tried drawing any angle without a protractor? or draw a circle without a compass, it is not possible.

Without the use of geometrical instrument, these things are not possible and i am sure you will agree to my statement. Well lets see how they are useful to us.

The geometrical box shown towards your right side is a basic requirement to learn geometry. Lets refresh your mind....:-)

1. Ruler:

You must have noticed that one edge of the ruler is graduated in centimeters and the other in inches. A ruler is used to draw lines and measure the length of the line segment.

Compass:

Compass is used to draw a circle with a given measurement of its radius and a line segment. We can also construct angles of given measures with the compass. There is a provision in the compass to insert a pencil.

Divider:

It is used to measure the length of a line segment and to compare the lengths of two given line segments.

A pair of Set – Squares:

They are used to construct perpendicular lines and parallel lines. One set-square has 30° − 60° − 90° angles at the vertices' and the other has 45° − 45° − 90° angles at the vertices'.

Look at the uses these geometrical instruments have, how they are used. This is the basic concept you must know when you start learning geometry. Let me know your views on this….

Friday, July 2, 2010

Volume of rectangular prism

-->Let me first introduce you the topic which i have chosen today, it is called Volume of a rectangular prism. Lets discuss on how to calculate volume of a rectangular prism.

Do you know what is a rectangular prism? We have discussed on what is a rectangle but now let me give you an introduction to rectangular prism before i go ahead with volume of rectangular prism.

-->
Rectangular Prism:- It is the three dimension geometrical figure. It has three dimensional length, width and height. To find the volume of a rectangular prism you need to know its length, width and height. Look at the figure shown above. Below we have the formula to find the volume of a rectangular prism with an example.

The formula to find the volume of a rectangular prism is L*W*H now lets solve a problem below.

Example:-

Find the volume of a rectangular prism whose width = 5cm, height = 6cm, Length = 9cm

Solution:

Given: Width = 5cm, height = 6cm, Length= 9cm.

Formula for volume of rectangular prism:
Volume = L × W × H
=9 × 5 × 6
= 45 × 6
=270cm3

Work on different problems as similar as the above mentioned example. Let me know how informative was this post. :-)