A circular field has a diameter of 14 meters. What is the area of the field in s

Practice Questions

Q1
A circular field has a diameter of 14 meters. What is the area of the field in square meters? (Use π = 3.14)
  1. 153.86
  2. 154
  3. 156
  4. 158

Questions & Step-by-Step Solutions

A circular field has a diameter of 14 meters. What is the area of the field in square meters? (Use π = 3.14)
  • Step 1: Identify the diameter of the circular field, which is given as 14 meters.
  • Step 2: Calculate the radius by dividing the diameter by 2. So, radius = 14 meters / 2 = 7 meters.
  • Step 3: Use the formula for the area of a circle, which is Area = π × radius².
  • Step 4: Substitute the value of π (3.14) and the radius (7 meters) into the formula: Area = 3.14 × (7 meters)².
  • Step 5: Calculate the square of the radius: (7 meters)² = 49 square meters.
  • Step 6: Multiply π (3.14) by the squared radius (49): Area = 3.14 × 49.
  • Step 7: Perform the multiplication: 3.14 × 49 = 153.86 square meters.
  • Circle Geometry – Understanding the properties of circles, including the relationship between diameter, radius, and area.
  • Area Calculation – Applying the formula for the area of a circle (A = πr²) using the correct value for π.
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