Question

A garden is in the shape of a semicircle with a diameter of 25 feet. A fence is being placed around the garden. How many feet of fencing is needed to go around the garden?

Answer 1

Step-by-step explanation:

First, let's find the area of the rectangle.

We know that the area of a rectangle is the length times width, or

20⋅32

in this example:

20⋅32=640

So the area of the rectangle is

640ftsquared.

You may not know the area of a semicircle, but that's fine

we know the area of a circle, or

πr2.

Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by

2:

So the area of a semicircle is

πr2/2.

The question asks for

π

to just be

3.14

, so instead the equation is

A=3.14/r2/2

The picture gives the diameter of the circle.

To find the radius, or r

, we divide the diameter by

2:20/2=10

Now we can solve for the area of the semicircle:

3.14 (10)squared/2

3.14(100)/2

314/2

157ft.2

Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:

640+157= 797ft.2

Answer 2

75.8

Explanation:

You have to pie (3.14) times the diameter which is 25 so 3.14x25=78.5