Respuesta :

Okay, simply you have to know your equations for the area of a circle and the area of a square and/or rectangle. These equations simply are:

Square / Rectangle | L * W = Area
Circle | pi * r^2 = Area

Alright, we know the measures of the rectangle are 4 and 6 which is our Length and Width, being "L and W". Now... let's solve for the area:

For the rectangle we multiply 4 by 6 simply:
4 * 6 = 24

So... 24 is the area of the rectangle. For the circle we know the diameter (the line that crosses the center point of a circle) is 4. The radius (r) which is what we need is half of the diameter, so that means the radius is 2. With this in mind we now use the equation:
3.14 * 2^2 = ? | The exponent works as follows: 2 * 2 = 4
3.14 * 4 = ? | Simply multiply.
3.14 * 4 = 12.56 | So... the area of the circle is 12.56. HOWEVER... we only have half of a circle so divide this by 2.

12.56 / 2 = 6.28

Now, we add both results together: 24 being the rectangle's area and 6.28 being the half circle's area. This leaves us with: 30.28 sq. meters.

Conclusion: 30.28 sq. meters should be the answer.

Exponent Note: Think of an exponent (^2, ^3, etc.) to be a "set" of (said number) that is multiplied together, for example:

4^2 = 4 * 4 = 16
4^3 = 4 * 4 * 4 = 64
etc.

I hope this helps in someway, have a great rest of your day! ^ ^
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