Respuesta :

9514 1404 393

Answer:

  9π ≈ 28.27 square units

Step-by-step explanation:

The formula for the area of a circle is ...

  A = πr² . . . . . radius r

For a radius of 6 units, the area is ...

  A = π·6² = 36π . . . . . square units

The area of a quarter-circle is 1/4 of this:

  quarter-circle area = (1/4)(36π) = 9π ≈ 28.27 . . . square units