Answer:
A = 48 cm^2
P = 92.52
A = 169.64 cm^2
P = 92.53 cm
Step-by-step explanation:
First of all I will calculate the area of all the semicircles, I can see that there are 3 semicircles with a radius of 4 so we can calculate it from there:
[tex]2^{2} * \pi * 1/2 * 3= 18.84[/tex]
So all the three semcircles are 18.84cm: Now let’s calculate the rest:
I can see 3 squares with 3 semicirlces and this time I will have to minus:
[tex]4^{2} *3-18.84=29.16[/tex]
Now let’s add these both and we get: [tex]48[/tex]
Or as you can see we can fit the semicircles like a puzzle into the squares we get three full squares and we can calculate very easily what the area by finding the area of one square and multiply it by 3.
Now we can find the perimeter simply by adding the sides, each long side is 12 as you can see which is 24 and adding the sides which are 4 each which calculates to 8.
[tex]12 * 2 + 4 * 2 = 32[/tex]
Let’s do the second shape now:
We can see one big semicircle and 3 little semicircles so let’s calculate the little semicircles first:
[tex]3^{2} * \pi * 1/2 * 3 = 42.41[/tex]
Now let’s calculate the area of the big semicircle:
[tex]9^{2} * \pi * 1/2=127.23[/tex]
Let’s add them together: [tex]169.64[/tex]
To find the perimeter use the following formula!
[tex]3*\pi + 6 = 15.42 * 3 = 46.26[/tex]
[tex]9 * \pi + 18 = 46.27[/tex]
[tex]92.53[/tex]
