Answer:
28.6 m²
Explanation:
The measurements of the square are 4 by 4; this gives us an area of
4(4) = 16 m²
The quarter circle has a radius of 4 m. The area of a circle is given by
A = πr².
Since we have a quarter circle, we multiply this by 1/4:
A = 1/4πr²
Using 3.14 for π and 4 for r,
A = 1/4(3.14)(4²) = 1/4(3.14)(16) = 3.14(4) = 12.56 m²
Together this gives us a total area of 16+12.56 = 28.56 m².
This rounds to 28.6 m².