Circle Area Calculation: Finding the Area with 1/2 cm Radius

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information
• Step 2: Apply the appropriate formula
• Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: The problem gives us that the radius $r = \frac{1}{2}$ cm.
Step 2: We'll use the formula for the area of a circle: $A = \pi r^2$.
Step 3: Plugging in the radius, we have $A = \pi \left(\frac{1}{2}\right)^2$. Calculating the square, we get $\left(\frac{1}{2}\right)^2 = \frac{1}{4}$. Thus, the area becomes $A = \pi \times \frac{1}{4} = \frac{\pi}{4}$.

Therefore, the solution to the problem is $\frac{\pi}{4}$.