1 Answer

Mcography · Answer 1 · 2023-11-21T07:32:20+0000

Answer:

27π cm² or 84.8 cm²

Step-by-step explanation:

$\sf Formula \ for \ area \ of \ sector = (\theta)/(360 ) \ x \ \pi (radius)^2$

Shaded region angle: 360° - 90° = 270°

Given radius: 6 cm

Applying formula:

$\rightarrow \sf (270)/(360) \ x \ \pi (6)^2$

$\rightarrow \sf 27\pi$

$\rightarrow \sf 84.823 \ cm^2$

$\rightarrow \sf 84.8 \ cm^2 \quad (rounded \ to \ nearest \ tenth)$

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