Math Problem Statement

Convert the following units of area:

A) 825 acres to hectares B) 3905 cm^2 to m^2

Solution

Let's solve each conversion step-by-step.

A) 825 acres to hectares

1 acre is approximately equal to 0.404686 hectares.

825 acres×0.404686hectares/acre=333.86445hectares825 \text{ acres} \times 0.404686 \, \text{hectares/acre} = 333.86445 \, \text{hectares}

So, 825 acres is approximately 333.86 hectares.

B) 3905 cm² to m²

1 square meter (m²) is equal to 10,000cm210,000 \, \text{cm}^2.

3905cm2÷10,000=0.3905m23905 \, \text{cm}^2 \div 10,000 = 0.3905 \, \text{m}^2

So, 3905 cm² is equal to 0.3905 m².

Would you like more details on any of these conversions?


Related Questions:

  1. How do you convert hectares to acres?
  2. What other units are commonly used to measure area?
  3. How many square meters are there in 1 square kilometer?
  4. What is the area of a circle with a radius of 10 cm in m²?
  5. How do you convert square inches to square feet?

Tip:

For area conversions, remember that the conversion factor needs to be squared when converting between squared units, such as cm² to m².

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Area Measurement

Formulas

1 acre = 0.404686 hectares
1 m^2 = 10,000 cm^2

Theorems

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Suitable Grade Level

Grades 6-8