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
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To find the area of Sandra's circular garden, we first need to calculate the area using the formula \(A = \pi r^2\). The radius is half of the diameter, so the radius \(r\) is \(44 \div 2 = 22\) meters. Plugging in the values: \[ A = 3.14 \times (22)^2 = 3.14 \times 484 \approx 1520.56 \text{ square meters} \] Since she planted equal regions of each vegetable (5 types), the area dedicated to potatoes is: \[ \text{Area for potatoes} = \frac{1520.56}{5} \approx 304.11 \text{ square meters} \] So, in the blanks, fill in: Blank 1: 304.11 Blank 2: square meters