ytdogguy ytdogguy
  • 24-05-2020
  • Mathematics
contestada

Area of a shaded segment of a circle. measure of the arc is 120 degrees. radius is 12 cm

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altavistard
altavistard altavistard
  • 24-05-2020

Answer:

12.6 cm²

Step-by-step explanation:

It'd be clearer if you were to provide an illustration and be more specific in sharing the instructions.  I will assume that you want the area of a shaded region when the central angle is 120 degrees and the radius is 12 cm.

120 degrees represents 1/3 of a full 360 degree central angle.  So, to find the area of this segment, we take (1/3) of the total area of the circle, which is:

A = (1/3) · π · r²    =    (1/3)(22/7)(12 cm)²  = 12.6 cm²

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