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A circular swimming pool has a diameter of 10 meters. What is the area of the po

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Question: A circular swimming pool has a diameter of 10 meters. What is the area of the pool in square meters? (Use π = 3.14)

Options:

  1. 78.5
  2. 100
  3. 50
  4. 60

Correct Answer: 78.5

Solution:

Radius = diameter / 2 = 10 / 2 = 5 meters. Area = π × radius² = 3.14 × 5² = 3.14 × 25 = 78.5 square meters.

A circular swimming pool has a diameter of 10 meters. What is the area of the po

Practice Questions

Q1
A circular swimming pool has a diameter of 10 meters. What is the area of the pool in square meters? (Use π = 3.14)
  1. 78.5
  2. 100
  3. 50
  4. 60

Questions & Step-by-Step Solutions

A circular swimming pool has a diameter of 10 meters. What is the area of the pool in square meters? (Use π = 3.14)
  • Step 1: Identify the diameter of the swimming pool, which is given as 10 meters.
  • Step 2: Calculate the radius of the pool by dividing the diameter by 2. So, radius = 10 meters / 2 = 5 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 (5 meters) into the formula. So, Area = 3.14 × (5 meters)².
  • Step 5: Calculate the square of the radius. (5 meters)² = 25 square meters.
  • Step 6: Multiply π (3.14) by the squared radius (25 square meters). So, Area = 3.14 × 25 = 78.5 square meters.
  • Area of a Circle – Understanding how to calculate the area of a circle using the formula A = π × r², where r is the radius.
  • Diameter and Radius Relationship – Recognizing that the radius is half of the diameter and correctly applying this relationship in calculations.
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