Answer:
in order to find the area, we should break up the figure. you can see that in the image we have a quarter of a circle and a square. here are the areas for each of these shapes
square:
[tex]area = {x}^{2} [/tex]
circle:
[tex]area = \pi {r}^{2} [/tex]
but since we only have a quarter of this circle we need to divide the area by 4 so the formula becomes
[tex] \frac{\pi {r}^{2} }{4} [/tex]
now we can plug in our numbers
we are given 6 m for our radius or length of square
the square will be (6)^2 = 36 m^2
now onto our circle
π(6)^2/4 = 28.26 m^2
now add these two shapes together to find the total area = 64.26 m^2
