A circular swimming pool has a diameter of 14 meters. What is the area of the po

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

Options:

Correct Answer: 153.86

Solution:

Radius = diameter / 2 = 14 / 2 = 7 meters; Area = π × radius² = 3.14 × 7² = 3.14 × 49 = 153.86 square meters.

A circular swimming pool has a diameter of 14 meters. What is the area of the pool? (Use π = 3.14)

A circular swimming pool has a diameter of 14 meters. What is the area of the pool? (Use π = 3.14)

Step 1: Identify the diameter of the swimming pool, 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 values into the formula. Here, π is given as 3.14 and radius is 7 meters.
Step 5: Calculate the radius squared (7²). This equals 49.
Step 6: Multiply π (3.14) by the radius squared (49). So, Area = 3.14 × 49.
Step 7: Perform the multiplication: 3.14 × 49 = 153.86.
Step 8: State the final answer: The area of the pool is 153.86 square meters.

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 diameter is twice the radius, and it's important to convert diameter to radius when calculating area.