Area Conversion

In units of area conversion we will learn how to convert the units. It’s very important to know the relation between the various units while solving the questions on area conversion.


Relation between the various units of area


   Length Units                         Area Units 

  1 m = 100 cm     so,   1 m² = (100 × 100) cm² = 10000 cm²

  1 m = 10 dm       so,   1 m² = (10 × 10) dm² = 100 dm²

  1 cm = 10 mm     so,   1 cm² = (10 × 10) mm² = 100 m²

  1 km = 1000 m    so,   1 km² = (1000 × 1000) m² = 1000000 m² 

  1 hm = 100 m      so,   1 hm² = (100 × 100) m² = 10000 m²
                                                                         = 1 hectare (ha) 

  1 dam = 10 m     so,   1 dam² = (10 × 10) m² = 100 m² = 1 ares 

Notes: 

1 hectare = 100 ares 


Examples on area conversion:

Convert the following units:

(a) 60 cm² in mm²

Solution:

60 cm² in mm²

1 cm = 10 mm

1 cm² = 100 mm²

Therefore, 60 cm² = 60 × 100 mm²

                           = 6000 mm²


(b) 3 hectares in m²

Solution:

3 hectares in m²

1 hectare = 10000 m²

Therefore, 3 hectares = 3 × 10000 m²

                                = 30000 m²


(c) 12000 m² in hectares

Solution:

12000 m² in hectares

10000 m² = 1 hectare

Therefore, 12000 m²    = 1/10000 × 12000 hectare

                                  = 12/10 hectare

                                  = 6/5 hectare


(d) 2.3 hectares in ares

Solution:

2.3 hectares in ares

1 hectare = 100 ares

Therefore, 2.3 hectares = 2.3 × 100 ares

                                   = 230 ares.


● Mensuration

Area and Perimeter

Perimeter and Area of Rectangle

Perimeter and Area of Square

Area of the Path

Area and Perimeter of the Triangle

Area and Perimeter of the Parallelogram

Area and Perimeter of Rhombus

Area of Trapezium

Circumference and Area of Circle

Units of Area Conversion

Practice Test on Area and Perimeter of Rectangle

Practice Test on Area and Perimeter of Square


 Mensuration - Worksheets

Worksheet on Area and Perimeter of Rectangles

Worksheet on Area and Perimeter of Squares

Worksheet on Area of the Path

Worksheet on Circumference and Area of Circle

Worksheet on Area and Perimeter of Triangle












7th Grade Math Problems

8th Grade Math Practice

From Area Conversion to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. What are Parallel Lines in Geometry? | Two Parallel Lines | Examples

    Apr 19, 24 04:39 PM

    Examples of Parallel Lines
    In parallel lines when two lines do not intersect each other at any point even if they are extended to infinity. What are parallel lines in geometry? Two lines which do not intersect each other

    Read More

  2. Perpendicular Lines | What are Perpendicular Lines in Geometry?|Symbol

    Apr 19, 24 04:01 PM

    Perpendicular Lines
    In perpendicular lines when two intersecting lines a and b are said to be perpendicular to each other if one of the angles formed by them is a right angle. In other words, Set Square Set Square If two…

    Read More

  3. Fundamental Geometrical Concepts | Point | Line | Properties of Lines

    Apr 19, 24 01:50 PM

    Point P
    The fundamental geometrical concepts depend on three basic concepts — point, line and plane. The terms cannot be precisely defined. However, the meanings of these terms are explained through examples.

    Read More

  4. What is a Polygon? | Simple Closed Curve | Triangle | Quadrilateral

    Apr 19, 24 01:22 PM

    Square - Polygon
    What is a polygon? A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments.

    Read More

  5. Simple Closed Curves | Types of Closed Curves | Collection of Curves

    Apr 18, 24 01:36 AM

    Closed Curves Examples
    In simple closed curves the shapes are closed by line-segments or by a curved line. Triangle, quadrilateral, circle, etc., are examples of closed curves.

    Read More