Question

A semi-circular garden has an area of 18pie m2 what is the perimeter of the garden

Answer 1

6
`\pi`

Explanation:

We know that the area of a circle is equal to
`\pi`
`r^(2)`.

A semi-circle is a half-circle, meaning that it will have half of the area of a full circle.

Therefore, a semi-circle's area is equivalent to
`(\pi r^(2) )/(2)`.

Set this equation equal to 18
`\pi`.

Solve for r.

We then find that r = 6.

Now, we need to find the circumference. We know that the equation for the circumference of a circle is 2
`\pi`r. Since we only need the perimeter of half of a circle, our circumference equation will equal
`\pi`r.

Plug 6 in for r.

The perimeter of the garden is equal to 6
`\pi`.