The circular mirror hanging on Malik's wall has a diameter of 16 inches. What is the mirror's area?

1. Break Down the Problem

To find the area of a circular mirror, we need to identify the radius of the circle and then use the formula for the area of a circle.

2. Relevant Concepts

The formula for the area $A$ of a circle is given by: $A = \pi r^2$ where $r$ is the radius of the circle. The radius can be obtained from the diameter as: $r = \frac{d}{2}$

3. Analysis and Detail

1. Calculate the radius of the mirror: $r = \frac{d}{2} = \frac{16 \text{ inches}}{2} = 8 \text{ inches}$

2. Now, substitute the radius into the area formula: $A = \pi (8 \text{ inches})^2$ $A = \pi (64 \text{ inches}^2)$

3. Using the approximate value $\pi \approx 3.14$: $A \approx 3.14 \times 64 \text{ inches}^2 \approx 200.96 \text{ inches}^2$

4. Verify and Summarize

The area of the circular mirror has been calculated using the correct formulas.

Final Answer

The area of the mirror is approximately $200.96 \text{ square inches}$.