Respuesta :

The answer is the first option, 28.6 m^2.
First, you know that the area of the square is 4 × 4 = 16 m^2.
The area of a regular circle is π × radius^2, but for a quarter circle, that changes to (π × radius^2)/4. We use 3.14 as π, and 4 is the radius, so we get (3.14 × 4^2)/4 = 50.24/4 = 12.56. Now we just need to add this to our original 16 m^2 to get the answer of 28.56, which rounds to 28.6 m^2. I hope this helps!
Even is you just estimate
The area of the square = 4² = 16
The semi circle shares two sides with the square so if you double 16 that is 32 but you know its less than 32 because the second shape curves cutting off some of the area. So I agree with  the first answer of 28.6m²
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