Answer: [tex]27\pi \text{ cm}^{2}[/tex]
Step-by-step explanation:
The area of the entire circle is [tex](\pi)(6^{2})=36\pi[/tex]
The area of the sector with the right angle is [tex]\frac{36\pi}{4}=9\pi[/tex]
Subtracting these areas, we get [tex]27\pi \text{ cm}^{2}[/tex]
