It looks like you've uploaded an image of a
7-inch hexagon — a regular hexagon with each side measuring 7 inches. However, there is no explicit problem or question stated in the image itself. Since the task isn't clearly defined, I’ll assume you're asking for help related to this hexagon, such as:
- Finding its
area
- Calculating its
perimeter
- Understanding its
properties
Let me solve the most common problems associated with a regular hexagon of side length 7 inches.
---
🔷 Step 1: Understand the Hexagon
A
regular hexagon has:
- 6 equal sides
- 6 equal internal angles (each 120°)
- Can be divided into 6 equilateral triangles
Given: Side length $ s = 7 $ inches
---
✔ Perimeter of the Hexagon
The perimeter $ P $ is simply:
$$
P = 6 \times s = 6 \times 7 = 42 \text{ inches}
$$
---
✔ Area of the Hexagon
The formula for the area $ A $ of a regular hexagon with side length $ s $ is:
$$
A = \frac{3\sqrt{3}}{2} s^2
$$
Plug in $ s = 7 $:
$$
A = \frac{3\sqrt{3}}{2} \times 7^2 = \frac{3\sqrt{3}}{2} \times 49
$$
$$
A = \frac{147\sqrt{3}}{2} \approx \frac{147 \times 1.732}{2} \approx \frac{254.124}{2} \approx 127.06 \text{ square inches}
$$
So, the area is approximately
127.06 in²
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✔ Additional Info: Radius and Apothem
-
Radius (R): Distance from center to a vertex = $ s = 7 $ inches
-
Apothem (a): Distance from center to the midpoint of a side
$$
a = \frac{s\sqrt{3}}{2} = \frac{7\sqrt{3}}{2} \approx 6.062 \text{ inches}
$$
---
📌 Summary
| Property | Value |
|--------------------|------------------------------|
| Side Length | 7 inches |
| Perimeter | 42 inches |
| Area | ~127.06 square inches |
| Apothem | ~6.062 inches |
| Radius | 7 inches |
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If your original task was different (e.g., "cut this out", "label the angles", "find the area", etc.), please clarify, and I can tailor the solution accordingly!
Let me know what specific problem you'd like solved!
Parent Tip: Review the logic above to help your child master the concept of printable hexagon templates.
