A circular garden has a diameter of 14 m. What is its area (use π ≈ 3.14)?

Practice Questions

Q1
A circular garden has a diameter of 14 m. What is its area (use π ≈ 3.14)?
  1. 153.86 m²
  2. 154 m²
  3. 150 m²
  4. 160 m²

Questions & Step-by-Step Solutions

A circular garden has a diameter of 14 m. What is its area (use π ≈ 3.14)?
Correct Answer: 153.86 m²
  • Step 1: Identify the diameter of the circular garden, which is given as 14 meters.
  • Step 2: Calculate the radius by dividing the diameter by 2. So, radius = 14 m / 2 = 7 m.
  • Step 3: Use the formula for the area of a circle, which is Area = π × radius².
  • Step 4: Substitute the values into the formula. Use π ≈ 3.14 and radius = 7 m.
  • Step 5: Calculate the radius squared: (7 m)² = 49 m².
  • Step 6: Multiply π by the radius squared: Area = 3.14 × 49 m².
  • Step 7: Perform the multiplication: 3.14 × 49 = 153.86 m².
  • Step 8: State the final area of the circular garden, which is 153.86 m².
  • Area of a Circle – The area of a circle is calculated using the formula A = π × r², where r is the radius.
  • Understanding Diameter and Radius – The radius is half of the diameter, which is crucial for calculating the area.
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