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.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Word Problems on Area and Perimeter | Free Worksheet with Answers

    Jul 26, 24 04:58 PM

    word problems on area and perimeter

    Read More

  2. Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers

    Jul 26, 24 04:37 PM

    Most and Least Perimeter
    Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find…

    Read More

  3. Perimeter and Area of Irregular Figures | Solved Example Problems

    Jul 26, 24 02:20 PM

    Perimeter of Irregular Figures
    Here we will get the ideas how to solve the problems on finding the perimeter and area of irregular figures. The figure PQRSTU is a hexagon. PS is a diagonal and QY, RO, TX and UZ are the respective d…

    Read More

  4. Perimeter and Area of Plane Figures | Definition of Perimeter and Area

    Jul 26, 24 11:50 AM

    Perimeter of a Triangle
    A plane figure is made of line segments or arcs of curves in a plane. It is a closed figure if the figure begins and ends at the same point. We are familiar with plane figures like squares, rectangles…

    Read More

  5. 5th Grade Math Problems | Table of Contents | Worksheets |Free Answers

    Jul 26, 24 01:35 AM

    In 5th grade math problems you will get all types of examples on different topics along with the solutions. Keeping in mind the mental level of child in Grade 5, every efforts has been made to introdu…

    Read More