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Surface Measurement

 

Perimeter and Area - 1

 

Line:

We saw line as one dimension.

Suppose we have line segment AB.

 

 A __________________ B

 

 

If we add another line segment eg. CD

 

C _________________ D

 

 

Now we have two line segments.

 

These two lines can be arranged in different ways.

These lines can be parallel to each other.

 

A _______________ B

C _______________ D

 

These can be at an angle to each other. or

 

 

They can be perpendicular to each other.

 

 

 

If you add another line- third line, fourth line, etc, they make different shapes or different Geometric figures.

 

For example:

 

Triangle Square Rectangle Parallelogram Trapezoid

 

These are all Polygons.

Polygons have many sides. Polygons are named for the number of sides they have.

 

Pentagon  Hexagon Quadrilateral Heptagon Octagon

 

Polygons can be Regular  or  Irregular.

If all the sides are of the same length and all the angles have the same measure, the polygon is called the regular polygon.

Just as by adding more lines we made above different figures, by bending or curving the line or by adding curved line segments we can make different circular figures.

For example:

 

Circle Ellipse

 

Table of Surface Measure

 

Traditional System

 

144 square inches = 1 sq. ft.

9 square feet = 1 sq. yard

30 1/4 sq. yds. = 1 sq. rod

160 sq. rods.  = 1 acre

640 acres = 1 sq. mile

1 acre = 208.71 ft. x 208.71 ft.

 

Table of Surface Measure

 

Metric System

 

meter x 10 = decameter

meter x  100 = hectometer

meter x 1000 = kilometer

 

 

Conversion between metric and customary systems

 

CUSTOMARY to METRIC
     
From multiply by To get
     
square feet 0.0929 square meters
square yards 0.8361 square meters
square miles 2.59 square kilometers
     
     
     
METRIC to CUSTOMARY
     
From multiply by To get
     
square kilometers 0.3861 square miles
hectares 2.4710 acres
     
     
     

 



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