https://file.aiquickdraw.com/mathbot/file/17260811946358anwr0fa.jpg

To solve Question 14 from the image you provided, let's carefully read the problem and break it down step by step.

### Problem Statement (Question 14):
The question reads: 

*In the figure, side of square = 4. What is the area of the non-shaded region?*

From the figure in the image, we can see that there is a square and a shaded circular area inside it. The task is to find the area of the non-shaded region, which is the area of the square minus the area of the shaded circle.

### Solution:

1. **Identify Given Values:**
   - Side length of the square, \( s = 4 \).

2. **Calculate the Area of the Square:**
   The area \( A \) of a square is given by:
   \[
   A_{\text{square}} = s^2
   \]
   Substituting the given side length:
   \[
   A_{\text{square}} = 4^2 = 16
   \]

3. **Understand the Shaded Region (Circle):**
   The shaded region is a circle inside the square. The diameter of the circle is equal to the side length of the square. Thus, the diameter \( D \) of the circle is 4. The radius \( r \) of the circle is half the diameter:
   \[
   r = \frac{D}{2} = \frac{4}{2} = 2
   \]

4. **Calculate the Area of the Circle:**
   The area \( A \) of a circle is given by:
   \[
   A_{\text{circle}} = \pi r^2
   \]
   Substituting the radius:
   \[
   A_{\text{circle}} = \pi \times 2^2 = 4\pi
   \]

5. **Calculate the Area of the Non-Shaded Region:**
   The non-shaded region is the area of the square minus the area of the circle:
   \[
   A_{\text{non-shaded}} = A_{\text{square}} - A_{\text{circle}}
   \]
   Substituting the values:
   \[
   A_{\text{non-shaded}} = 16 - 4\pi
   \]

6. **Final Answer:**
   The area of the non-shaded region is \( 16 - 4\pi \).

Thus, the correct answer is **16 - 4π**.

### Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you calculate the circumference of a circle given its radius?
2. What would be the area of a square if its side length is doubled?
3. How do you calculate the area of a shaded region between two concentric circles?
4. What is the area of a triangle inscribed in a circle?
5. How does the area formula for regular polygons differ from that of a circle?

**Tip:** Remember that when working with circles, knowing either the radius or the diameter allows you to calculate both the circumference and area of the circle!

In the figure, the side of a square is 4. What is the area of the non-shaded region?

Learn how to calculate the area of the non-shaded region inside a square with a side of 4 units and a shaded circular region. Understand key concepts like the area of squares, the area of circles, and how to subtract areas of composite shapes. Suitable for students in Grades 8-10.

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