persaudjocelyn persaudjocelyn
  • 15-03-2020
  • Mathematics
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A circle with radius 9 has a sector with a central angle of 120 degrees. What is the area of the sector?

A circle with radius 9 has a sector with a central angle of 120 degrees What is the area of the sector class=

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altavistard
altavistard altavistard
  • 17-03-2020

Answer:

A =  27π units²

Step-by-step explanation:

Note that a central angle of 120 degrees corresponds to 1/3 of a full circle.

The area of the full circle is A = πr², or A = π(9 units)² = 81π units², and so

the area of the sector in question is 1/3 of that, or   A =  27π units²

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