Answer:
27π cm² or 84.8 cm²
Explanation:
[tex]\sf Formula \ for \ area \ of \ sector = \dfrac{\theta}{360 } \ x \ \pi (radius)^2[/tex]
Shaded region angle: 360° - 90° = 270°
Given radius: 6 cm
Applying formula:
[tex]\rightarrow \sf \dfrac{270}{360} \ x \ \pi (6)^2[/tex]
[tex]\rightarrow \sf 27\pi[/tex]
[tex]\rightarrow \sf 84.823 \ cm^2[/tex]
[tex]\rightarrow \sf 84.8 \ cm^2 \quad (rounded \ to \ nearest \ tenth)[/tex]
