How many Triangles

How many triangles:A triangle is a geometrical figure formed by three lines, which intersect each other and which are not all concurrent.Let us now learn how many triangles are their altogether,Types of Triangle.There are three types of triangles they are: Equilateral triangle,Isosceles triangle and Scalene triangle.In equilateral triangle all the three sides are equal and all the angles are equal,in isosceles triangle two sides and their opposite angles are equal,in scalene all the three sides are not equal.While studying Triangles we usually come across congruent triangles too.Hope you like the above example of How many Triangles.Please leave your comments, if you have any doubts.

How to Measure Circumference of a Circle

Searching for circumference of a circle formula ? let me explain you how to find the circumference of a circle,

* Measure diameter. The diameter of a circle is the distance across a circle, through its center. It can be visualized as a straight line cutting the circle in half. For large circles like running paths, the diameter can be estimated.

* Consider radius. Radius is the distance from the center of a circle to any point on the circle. The radius of a circle is half its diameter. When diameter is too large to determine, estimate the radius. Then use simple math and multiply the radius by 2.

* Grasp pi. Pi is the ratio of the circumference of a circle to its diameter. Pi is called a constant in math. It is a number that does not change, no matter the size of the circle. The value of pi is usually rounded to 3.14.* Calculate circumference. Use simple math to multiply the diameter of the circle by pi. If a jogger estimated diameter of a circular path as 200 meters across, then circumference would be 200 times 3.14 or 628 meters.

* Verify units of measurement. The units for circumference are the same as the units for diameter. If diameter is measured in meters, report circumference in meters.

I hope the above explanation was useful.

TRINOMIAL SQUARES

Let us study about TRINOMIAL SQUARES,

A trinomial that is the the square of a Binomial is called a TRINOMIAL SQUARE. Trinomials that are perfect squares factor into either the square of a sum or the square of a difference. Recalling that (x + y)² = x² + 2xy + y² and (x - y)² = x² - 2xy + y², the form of a trinomial square is apparent. The first term and the last term are perfect squares and their signs are positive. The middle term is twice the product of the square roots of these two numbers. The sign of the middle term is plus if a sum has been squared; it is minus if a difference has been squared.

The polynomial 16x² - 8xy + x² is a trinomial in which the first term, 16x , and the last term, y², are perfect squares with positive signs. The square roots are 4x and y. Twice the product of these square roots is 2(4x)(y) = 8xy. The middle term is preceded by a minus sign indicating that a difference has been squared.

I hope the above explanation helped you.

Explain Concentric circles

Let us study about concentric circles,
In a large circle, two or more small circles inside a large circle and the center for all the circle inside is same. Other wise circle which have common center are known as concentric circle.

Wher R is the radius of the large circle, and r is the radius of the small circle.

In the figure we see that the center is same for both the circle.

For concentric circle we can find the area of ring inside large circle and small circle is given by.

Area of a ring = Area of large circle - area of small circle

= πR2 - πr2

= π(R+r)(R-r) Square units

Let us example for area of a ring in a concentric circle.

I hope the above explanation was useful, now let me explain how to find area of circle.

Statistics

Statistics:

The common question that is asked about any new topic is what is the meaning of that topic,similarly let us learn about what is Statistics??Statistics deals mainly in communicating facts and figures in terms of a method called statistical method. Collection, classification, tabulation, representation, reasoning, testing and drawing inferences are part of statistical methods.Rainfall patterns of a particular city over a period of time can be analyzed and a fair estimate about next season can be arrived at, with the help of figures (data) collected over a period of time.

The statistical method of studying a problem broadly consists of the following steps,basically we can get help on the statistical methods by following the steps given below:

* to collect numerical data about the problem,
* to present the collected data systematically,
* to analyze the data and
* to interpret the data and draw conclusions from it.

We have already learnt about the measures of central tendency, the mean, median and mode. Each of these gives a representative value of the data. If we say "the mean of a data is 15", we expect most of the values to be centered around 15. But measures of central tendency don't give us the complete picture. We would want to know how the values are scattered around the mean or the median. In other words, we want to study the variability and define a single number to describe the variability. This number is called the "measure of dispersion". Two of the measures of dispersion are Mean Deviation and Standard Deviation.We can also get help on statistics and probability by learning the statistics formulas.

Hope you like the above example of Statistics.Please leave your comments, if you have any doubts.