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A circular park has a diameter of 14 meters. What is the area of the park in squ

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Question: A circular park has a diameter of 14 meters. What is the area of the park in square meters? (Use π = 3.14)

Options:

  1. 153.86
  2. 154
  3. 156
  4. 158

Correct Answer: 153.86

Solution:

Radius = diameter/2 = 14/2 = 7 meters. Area = πr² = 3.14 × 7² = 3.14 × 49 = 153.86 square meters.

A circular park has a diameter of 14 meters. What is the area of the park in squ

Practice Questions

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

Questions & Step-by-Step Solutions

A circular park has a diameter of 14 meters. What is the area of the park in square meters? (Use π = 3.14)
  • Step 1: Identify the diameter of the circular park, which is given as 14 meters.
  • Step 2: Calculate the radius of the park 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 × r².
  • Step 4: Substitute the value of π (3.14) and the radius (7 meters) into the formula. So, Area = 3.14 × (7 meters)².
  • Step 5: Calculate (7 meters)², which is 7 × 7 = 49 square meters.
  • Step 6: Now multiply 3.14 by 49. So, Area = 3.14 × 49 = 153.86 square meters.
  • Circle Geometry – Understanding the relationship between diameter, radius, and area of a circle.
  • Area Calculation – Applying the formula for the area of a circle (A = πr²) using the correct value of π.
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