9514 1404 393
Answer:
9π ≈ 28.27 square units
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