Respuesta :

Answer:

C

Step-by-step explanation:

The shape is composed of a square and a semi circle

area of square = a × a = a²

The diameter of the semi circle is c , then radius = [tex]\frac{1}{2}[/tex] c = [tex]\frac{c}{2}[/tex]

area of semi circle = [tex]\frac{1}{2}[/tex] πr² = [tex]\frac{1}{2}[/tex] π × ([tex]\frac{c}{2}[/tex] )² = [tex]\frac{1}{2}[/tex] π × [tex]\frac{c^2}{4}[/tex] = [tex]\frac{\pi c^2}{8}[/tex]

area of shape = a² + [tex]\frac{\pi c^2}{8}[/tex] → C