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23 November, 08:08

A circle has an area of 36π in2. What is the area of a sector of the circle that has a central angle of

π 6?

A) 3 in2

B) 6 in2

C) 12 in2

D) 196 in2

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Answers (1)
  1. 23 November, 10:46
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    A central angle : π / 6 = 30 °

    30 ° = 360 ° / 12

    The area of the sector is 1/12 of the area of a circle.

    Therefore area of the sector is:

    A = 36 π / 12 = 3 π

    Answer: A) 3 π in²
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