Question

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

Answer 1

Answer:

6$\pi$

Step-by-step 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 $\frac{\pi r^{2} }{2}$.

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$\pi$.