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Original Question
Madeline wants to plant flowers in a circle at the base of a tree. The tree has a diameter of 16 in., and Madeline wants the fl...Question
Madeline wants to plant flowers in a circle at the base of a tree the tree has a diameter of 16 in and Madeline wants flower bed to have a diameter of 30 in what area were the flower bed cover round your answer to the nearest hundredth thank you
Answers
GPT-4o mini
To find the area that the flower bed will cover, we can use the formula for the area of a circle:
\[
A = \pi r^2
\]
Where \( r \) is the radius of the circle.
1. First, we need to find the radius of the flower bed. Since the diameter is given as 30 inches, the radius \( r \) is:
\[
r = \frac{30}{2} = 15 \text{ inches}
\]
2. Now we can calculate the area of the flower bed:
\[
A = \pi (15)^2
\]
\[
A = \pi \times 225
\]
\[
A \approx 3.14159 \times 225 \approx 706.85775
\]
3. Rounding this to the nearest hundredth:
\[
A \approx 706.86 \text{ square inches}
\]
Therefore, the area covered by the flower bed is approximately **706.86 square inches**.
\[
A = \pi r^2
\]
Where \( r \) is the radius of the circle.
1. First, we need to find the radius of the flower bed. Since the diameter is given as 30 inches, the radius \( r \) is:
\[
r = \frac{30}{2} = 15 \text{ inches}
\]
2. Now we can calculate the area of the flower bed:
\[
A = \pi (15)^2
\]
\[
A = \pi \times 225
\]
\[
A \approx 3.14159 \times 225 \approx 706.85775
\]
3. Rounding this to the nearest hundredth:
\[
A \approx 706.86 \text{ square inches}
\]
Therefore, the area covered by the flower bed is approximately **706.86 square inches**.