2 years ago

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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