Question

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

Answer 1

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\\ (36)/(\pi)=r^2\\ (√(36))/(√(\pi))=r\\ (6)/(√(\pi))=r`

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

`C=2\pi*(6)/(√(\pi))\\ C=(12\pi)/(√(\pi))\\ C=12√(\pi)`

Your answer is A. 12√π.