To find the area that Madeline's flower bed will cover, we start by noting that the flower bed is shaped like a circle.
The diameter of the flower bed is given as 30 inches. We can find the radius by dividing the diameter by 2:
\[ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{30 \text{ in.}}{2} = 15 \text{ in.} \]
Next, we can use the formula for the area of a circle, which is given by:
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius. Plugging in the radius we just calculated:
\[ \text{Area} = \pi (15 \text{ in.})^2 \]
Calculating \( (15)^2 \):
\[ (15)^2 = 225 \]
Now, substituting back into the area formula:
\[ \text{Area} = \pi \cdot 225 \]
Using the approximation \( \pi \approx 3.14 \):
\[ \text{Area} \approx 3.14 \cdot 225 \]
Calculating this product:
\[ 3.14 \cdot 225 \approx 706.5 \]
Thus, rounding to the nearest hundredth, the area that the flower bed will cover is:
\[ \text{Area} \approx 706.50 \text{ in}^2. \]
Therefore, the area of the flower bed is
\[ \boxed{706.50} \text{ in}^2. \]