Question: What is the area of a regular hexagon with a side length of 3 m?
Options:
15.59 m²
18.00 m²
23.38 m²
27.00 m²
Correct Answer: 15.59 m²
Solution:
Area = (3√3/2) × side² = (3√3/2) × (3 m)² ≈ 15.59 m².
What is the area of a regular hexagon with a side length of 3 m?
Practice Questions
Q1
What is the area of a regular hexagon with a side length of 3 m?
15.59 m²
18.00 m²
23.38 m²
27.00 m²
Questions & Step-by-Step Solutions
What is the area of a regular hexagon with a side length of 3 m?
Correct Answer: 15.59 m²
Step 1: Understand that a regular hexagon has 6 equal sides.
Step 2: Identify the side length of the hexagon, which is given as 3 meters.
Step 3: Use the formula for the area of a regular hexagon: Area = (3√3/2) × side².
Step 4: Substitute the side length into the formula: Area = (3√3/2) × (3 m)².
Step 5: Calculate (3 m)², which is 9 m².
Step 6: Now substitute back into the formula: Area = (3√3/2) × 9 m².
Step 7: Multiply (3√3/2) by 9: Area = (27√3/2) m².
Step 8: To get a numerical approximation, calculate (27√3/2) using a calculator, which is approximately 15.59 m².
Area of a Regular Hexagon – The area of a regular hexagon can be calculated using the formula Area = (3√3/2) × side², where 'side' is the length of one side of the hexagon.
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