Question

Mary wants to buy a small fence place around us semi circular garden demeanor of a semi circle is 18 feet Mary calculus that she needs of about 28.3 feet of fence use a drop down menu to explain whether or not Mary's reasoning is correct use 3.4 for pie

Answer 1

Diameter of a semi circular garden = 18 feet

Radius of the garden :

`= \tt(diameter)/(2)`

`=\tt (18)/(2)`

`=\tt 9 \: feet`

Thus, the radius of the semi circular fence = 9 feet

We know that :

`\color{hotpink}\tt \: Circumference \: of \:a \: semi \: circle \color{plum}=\pi r`

Which means, the circumference of Mary's semi circular garden :

`=\tt \pi r`

(pi value = 3.14)

`= \tt3.14 * 9`

`=\tt 28.26 \: \: feet`

Thus, the circumference of fence needed for the semi circular garden = 28.26 feet

28.26 can be rounded off to 28.30 and 28.30 is the same as 28.3

Thus, Mary's reasoning is correct.

Therefore, Mary's reasoning is correct which means she needs 28.3 feet of fence to surround her garden.