Wednesday, April 24, 2013

Geometric Math Templates

Introduction to geometric math templates:

In math, template defines model, shapes etc. In math, geometry is described as about the shapes and their properties. The geometry has a lengthy and legendary history and it is one of the fundamentals of the math. In mathematics, it plays a major role. In math, the geometry contains many templates. The geometric includes the shapes circle, triangle, sphere, cylinder, etc.. Now we are going to solve the problems for geometric math templates.


Examples – Geometric math templates:


Let see solve the problem using triangle shape in geometric math templates.

Example 1:

Work out the area of a triangle with height 8.8 cm and base of 17 cm.

Solution:

The formula for area of the triangle is  `1/2` (bxh)

= `1/2` (8.8 x 17)

= `1/2`(149.6)

=74.8

Hence the area of the triangle is 74.8 cm2.

Example 2:

Work out the volume of the sphere with the radius having 20.89 meter.

Solution:

We know the formula for finding volume of the sphere =` 4/3` П r3

Here П = 3.14, r = 20.89 meter and insert the value into formula we get

Volume =` 4/3` x 3.14 (20.89)3

Simplify the above we get

= ` 4/3`x 3.14 x 20.89 x 20.89 x 20.89

Simplify the above we get

=` 4/3` x28624.97

= 38166.20m3

These are examples in triangles and sphere for geometric math templates.


More examples – Geometric Math Templates:


Now we will solve the line shape problem in geometric math templates.

Work out is the slope of the geometric line which passes through (12.5, 10.2) and (15.6, 13.6)

Solution:

We know that the slope of a given line can be found as m =`(Y2-Y1)/(X2-X1)`

Here, x1 = 12.5 x2 = 15.6 y1= 10.2 y2 =13.6

m = `(13.6-10.2)/(15.6-12.5)`

= `3.4/3.1`

m =1.09

So the slope of the line is found to be 1.09.

Example 4:

The radius of a circle is 5.1cm2 inches.

Calculate is the area of the circle.

Formula= `Pi` r2

= 3.14*5.1*5.1

=81.67cm2

These are examples in line and circle for geometric math templates.

These are examples for geometric math templates.

That’s all about geometric math templates.

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