Respuesta :

Answer:

27π

Step-by-step explanation:

First, find the area as though the circle were complete.

A = πr²

A = π(6)²

A = 36π

Now, if you look at the diagram, you can see that the chunk missing forms a 90 degree angle.  In a circle, there is 360 degrees in total.  This means that only 3/4 of the circle is left.  Multiply the area by 3/4.

36π × 3/4 = 27π

The area is 27π.