Sandra just finished planting potatoes, lettuce, radishes, cabbage, and spinach in her new garden. The garden is a circle whose diameter is 44 meters. If she planted equal regions of each vegetable, what is the area of Sandra's garden that has potatoes. Use 3.14 for pi. Round your answer to the nearest hundredth as needed. About Type the number in blank 1, the label in blank 2

To find the area of Sandra's garden that has potatoes, we first need to calculate the total area of the garden. Since the garden is a circle, we can use the formula for the area of a circle: \[ \text{Area} = \pi \times \text{radius}^2 \] Given that the diameter of the garden is 44 meters, the radius is half of the diameter, which is 22 meters. Substitute the value of the radius into the formula to find the total area of the garden: \[ \text{Total Area} = 3.14 \times 22^2 \] Now, we can calculate the total area of the garden. Next, since Sandra planted equal regions of each vegetable, the area of the garden that has potatoes will be one-fifth of the total area of the garden. Let's calculate the area of the garden that has potatoes. Calculate the value by following steps: - step0: Calculate: \(3.14\times 22^{2}\) - step1: Rewrite the expression: \(3.14\times 484\) - step2: Multiply the numbers: \(1519.76\) The total area of Sandra's garden is approximately 1519.76 square meters. Since Sandra planted equal regions of each vegetable, the area of the garden that has potatoes will be one-fifth of the total area of the garden. Therefore, the area of Sandra's garden that has potatoes is: \[ \text{Area of Potatoes} = \frac{1}{5} \times 1519.76 \] Let's calculate the area of the garden that has potatoes. Calculate the value by following steps: - step0: Calculate: \(\frac{1}{5}\times 1519.76\) - step1: Convert the expressions: \(\frac{1}{5}\times \frac{37994}{25}\) - step2: Multiply the fractions: \(\frac{1\times 37994}{5\times 25}\) - step3: Multiply the terms: \(\frac{37994}{5\times 25}\) - step4: Multiply the terms: \(\frac{37994}{125}\) The area of Sandra's garden that has potatoes is approximately 303.95 square meters. Therefore, the answer to the question is: 1. The area of Sandra's garden that has potatoes is approximately 303.95 square meters.