Answer:
~18.28 ft. / 12 + 2π ft. (Read explanation please!)
Step-by-step explanation:
<u>I) Find the square's perimeter:</u>
Obviously, a square's perimeter is its side length x 4. However, there would be a semicircle on top of it. So, to find it we use:
4 x 3 = 16 ft. (Since 1 of the sides is covered by the semicircle)
<u>II) Find the semicircle's perimeter:</u>
Finding the semicircle's perimeter is a bit more complicated, but no worries! We can use this formula:
<em>πr + 2r (pi x radius + radius x 2)</em>
But WAIT: We need to make sure we remove that one side of the square we mentioned earlier. So we would use:
<em>πr (pi x radius)</em>
In terms of π, the perimeter would be:
<em>2π = 2π ft.</em>
Or, if you used a standard approximation of π, let's say 3.14, it would be:
<em>2(3.14) = ~6.28 ft.</em>
<u>III) Add them up:</u>
If we wanted to state the total perimeter using 3.14 as π, we would say the formula is:
2(3.14) + 4(3) = 18.28 ft.
Or in terms of π:
2π + 4(3) = 12 + 2π ft.
