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QuestionMathematics

The diameter of a circle is 14 inches. What is the circle's area? Use 3.14 for π.
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the given information

- We'll use $$\pi = 3.14
- Diameter of the circle = 14 inches

Step 3:
: Calculate the radius

r = \frac{14}{2} = 7 \text{ inches}
- Radius is half the diameter

Step 4:
: Use the area formula for a circle

A = 3.14 \times (7)^{2}
- Substitute the radius value

Step 5:
: Calculate the area

A = 3.14 \times 49
A = 153.86 \text{ square inches}

Final Answer

Key points: - Converted diameter to radius by dividing by 2 - Used circle area formula A = \pi r^{2} - Rounded to two decimal places - Included square inches as the unit of measurement