Answer:
Step-by-step explanation:
First you need to find the radius of the circle which is 6 because it is half of the width of the rectangle. Then the area of circle is calculated by A=pi time radius squared so the formula is 3.14x36=113.04
Then the area of the rectangle is 192, so 113.04+192=305.04
Answer:
[tex]248.52ft^2[/tex] (They most likely rounded their answer during the process of solving it, but you should actually get [tex]248.55ft^2[/tex].)
Step-by-step explanation:
In order to find the area of a shape that is made up of a half circle and a rectangle, you must first decide which fragment you are to solve first. I am doing this in the order of which I would solve the area for, but if you wish do to it differently, you may of course solve for the pieces in a different order.
The rectangle:
In order to solve for the area of a rectangle, you must multiply the length (16 ft) and the width (12 ft). You should get [tex]192ft^{2}[/tex].
The half circle:
In order to find the area of a half circle, you must first know how to solve for the area of a full circle. Knowing this would make the equation much easier. The equation for a full circle is actually pretty simple: [tex]\pi r^2[/tex].
The only problem with this is that we don't have a given radius. To solve for the radius in this equation is pretty simple if you know what to do. The radius can be found by dividing the diameter by two. We can assume that the diameter of the circle is the width of the rectangle (12 ft). Now all you have to do is divide that number by 2. You should get 6 ft.
Now all you have to do to solve for the full circle is plug the (6 ft) into the equation. You should get [tex]113.10ft^{2}[/tex].
To find the area of a half circle after you know the area of the full circle is simple. All you have to do now is divide it by 2. You should get [tex]56.55ft^2[/tex].
The area of the shape:
The last step in solving for the area of this shape is to add both the area of the rectangle ([tex]192ft^{2}[/tex]) and the half circle ([tex]56.55ft^2[/tex]) together. You should get [tex]248.55ft^2[/tex].
