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

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