A circle has a diameter of 14 m. What is its area? (Use π = 3.14)

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Question: A circle has a diameter of 14 m. What is its area? (Use π = 3.14)

Options:

Correct Answer: 153.86 m²

Solution:

Radius = diameter / 2 = 14 m / 2 = 7 m. Area = π × radius² = 3.14 × (7 m)² = 3.14 × 49 m² = 153.86 m².

A circle has a diameter of 14 m. What is its area? (Use π = 3.14)

A circle has a diameter of 14 m. What is its area? (Use π = 3.14)

Step 1: Identify the diameter of the circle, which is given as 14 m.
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. Here, π = 3.14 and radius = 7 m.
Step 5: Calculate the radius squared: (7 m)² = 49 m².
Step 6: Now 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 answer: The area of the circle is 153.86 m².

Circle Geometry – Understanding the relationship between diameter, radius, and area of a circle.
Area Calculation – Applying the formula for the area of a circle using the radius.