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
Perimeter and Area of Rectangle
Area and Perimeter of the Triangle
Area and Perimeter of the Parallelogram
Circumference and Area of Circle
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 Circumference and Area of Circle
Worksheet on Area and Perimeter of Triangle
7th Grade Math Problems
8th Grade Math Practice
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