All we need to do to solve this problem is calculate the area of a rectangle and the area of a circle, then <em><u>add them</u></em>!
____________________________
First, let's do the rectangle!
Area of a rectangle = length x width
or in this case... Area = "x" times "y"
Area = 19 × 12 = 228 square feet!
________________________________
Now, let's do the circle!
Area of a circle = πr² ... (r = radius)
<u><em>*</em></u> In this diagram, the diameter of the circle is also the same length as "y"!
<u><em>* </em></u>And remember that<em> radius is half of the diameter</em>.
radius = 6
Now, let's actually calculate the area
Area = π(6)² ⇒ 36π
Area = 113.1 (I rounded up the decimals!)
_______________________________________
<u><em>*</em></u>But wait! Look at the figure! It looks like HALF of the circle's area <u>was included when we calculated the area of the rectangle</u>! This means that we should divide the area of the circle (that we just calculated) in half!
Area of the HALF CIRCLE = 113.1 ÷ 2 = 56.5
Now let's add the <u>area of the rectangle</u> to the <u>area of the half-circle</u> to find the <u>area of THE ENTIRE FIGURE</u>!
<u>228 + 56.5 = 284.5 </u>
284.5 square feet is our answer!
![\bf \textit{Periodic/Cyclical Exponential Growth}\\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\to &650\\ r=rate\to 100\%\to \frac{100}{100}\to &1.00\\ t=\textit{elapsed time}\to &10\\ c=period\to &9 \end{cases} \\\\\\ A=650(1 + 1)^{\frac{10}{9}}\implies A=650(2)^{\frac{10}{9}}\implies A=650\sqrt[9]{2^{10}}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7BPeriodic%2FCyclical%20Exponential%20Growth%7D%5C%5C%5C%5C%0AA%3DP%281%20%2B%20r%29%5E%7B%5Cfrac%7Bt%7D%7Bc%7D%7D%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D%5Ctextit%7Baccumulated%20amount%7D%5C%5C%0AP%3D%5Ctextit%7Binitial%20amount%7D%5Cto%20%26650%5C%5C%0Ar%3Drate%5Cto%20100%5C%25%5Cto%20%5Cfrac%7B100%7D%7B100%7D%5Cto%20%261.00%5C%5C%0At%3D%5Ctextit%7Belapsed%20time%7D%5Cto%20%2610%5C%5C%0Ac%3Dperiod%5Cto%20%269%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0AA%3D650%281%20%2B%201%29%5E%7B%5Cfrac%7B10%7D%7B9%7D%7D%5Cimplies%20A%3D650%282%29%5E%7B%5Cfrac%7B10%7D%7B9%7D%7D%5Cimplies%20A%3D650%5Csqrt%5B9%5D%7B2%5E%7B10%7D%7D)