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Wittaler [7]
2 years ago
13

Can someone explain why A is the right answer to this question? I'm unsure of how to work out this problem.

Mathematics
1 answer:
joja [24]2 years ago
4 0

So firstly, we have to find the radius of the circular garden before finding the circumference (the amount of fencing needed to surround the garden). To find the radius, use the area formula (A=\pi r^2), plug in the area of the garden (36 ft^2) and solve for r as such:

36=\pi r^2\\ \frac{36}{\pi}=r^2\\ \frac{\sqrt{36}}{\sqrt{\pi}}=r\\ \frac{6}{\sqrt{\pi}}=r

So that we know the radius, plug that into the circumference equation (C=2\pi r) to solve:

C=2\pi*\frac{6}{\sqrt{\pi}}\\ C=\frac{12\pi}{\sqrt{\pi}}\\ C=12\sqrt{\pi}

Your answer is A. 12√π.

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