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Irina18 [472]
2 years ago
15

A circle with area 100π has a sector with a central angle of 2/5π radians.

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
3 0

Answer:

  20π square units

Step-by-step explanation:

The sector area is found using the proportion ...

  sector area / circle area = sector angle / whole circle angle

Multiplying by "circle area", we get ...

  sector area = (circle area)( sector angle / whole circle angle)

  = (100π)(2/5π)/(2π)

  = (100π)(1/5)

  sector area = 20π

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