Thursday, May 30, 2013

Boundary Line Math Definition

Introduction to boundary line math definition:

The boundary line is defined as the line or border around outside of a shape. The Boundary line defines the space or area. The limits of an area can be determined by the boundary line. The boundary line lies instantly inside the boundary. The boundary line indicating an edge of something. There is a boundary line for each and every shape. For each and every shape we can determine the area. The examples of boundary lines in math are given below. They are:

Triangle, Circle, Square, Rectangle, Parallelogram, Trapezoid, Rhombus, Cylinder, Cube and Cone


Examples problems- boundary line math definition:



Example 1: boundary line math definition

Find the area of the right- angled triangle whose height is 10cm and base is 5cm.

tri1

Solution:

Step 1: Given that base, b = 5cm and height, h = 10cm

Step 2: The formula for the area of the right-angled triangle is area= `1/2` (`bxx h)`

Step 3: Substitute the values of base and height

Step 4: area=`1/2(5 xx 10)`

Step 5: area=`1/2(50)`

Step 6: area=25cm

Answer: The area of the right- angled triangle is 25cm.

Example 2: boundary line math definition

Find the area of the equilateral triangle whose side is 5cm.

etri2

Solution:

Step 1: Given that the side is 5cm.

Step 2: The formula for the area of the equilateral triangle is area= `sqrt(3)/4` ` xx` a2

Step 3: Substitute the values of the side.

Step 4: area= `sqrt(3)/4` ` xx` 5 2

Step 5: area= `sqrt(3)/4 xx` 25

Step 6: area=6.25`xxsqrt(3)`

Step 7: area=6.25 `xx` 1.732 (The value of `sqrt(3) ` is 1.732)

Step 8: area=10.825cm

Answer: The area of the equilateral triangle is 10.825cm.


One more example problem- boundary line math definition:



Example 1: boundary line math definition

Find the area of the circle whose radius is given as 2cm.

       cir3

Solution:

Step 1: Given that the radius is 2cm.

Step 2: The formula for the area of the circle is area= `pi `r2

Step 3: Substitute the values of the radius

Step 4: We know that the value of `pi ` is `22/7` (or) 3.14

Step 5: area= 3.14 `xx` 22

Step 6: area= 3.14 `xx` 4

Step 7: area=12.56cm

Answer: The area of the circle is 12.56cm

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