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I am Lyosha [343]
2 years ago
5

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)

Mathematics
1 answer:
Helen [10]2 years ago
7 0

Answer:

A = 27π cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

the central angle of the shaded sector = 360° - 90° = 270° , then

A = πr² × \frac{270}{360}

  = π × 6² × \frac{3}{4}

  = 36π × \frac{3}{4}

  = 9π × 3

 = 27π cm²

 

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