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The problem asks to find the area of the circle, using \( \pi = 3.14 \). The diameter of the circle is given as 10.2 inches.

### Steps:
1. **Find the radius**: 
   The radius \( r \) is half of the diameter.
   \[
   r = \frac{10.2}{2} = 5.1 \, \text{inches}
   \]

2. **Area of the circle formula**:
   The area \( A \) of a circle is given by the formula:
   \[
   A = \pi r^2
   \]
   Substituting \( \pi = 3.14 \) and \( r = 5.1 \):
   \[
   A = 3.14 \times (5.1)^2 = 3.14 \times 26.01 = 81.7314
   \]

3. **Round the answer**:
   Rounding the result to the nearest tenth:
   \[
   A \approx 81.7 \, \text{square inches}
   \]

### Final Answer:
The area of the circle is **81.7 square inches**.

Would you like more details on any of these steps?

Here are 5 related questions to expand on this concept:
1. How would the area change if the diameter were doubled?
2. What is the circumference of this circle using \( \pi = 3.14 \)?
3. How do you find the area of a sector of a circle?
4. What if the diameter was given in centimeters—how would you convert the area to square centimeters?
5. How does the area change as the radius changes proportionally?

**Tip**: Remember, the area of a circle grows with the square of the radius, so even small increases in the radius lead to much larger areas!

Find the area of the circle. Use 3.14 for the value of π. Round your answer to the nearest tenth. The diameter is 10.2 inches.

Learn how to find the area of a circle with a diameter of 10.2 inches using π = 3.14. Step-by-step solution includes calculating the radius, applying the area formula, and rounding to the nearest tenth. Suitable for students in Grades 6-8.

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