nkortiz12098 nkortiz12098
  • 04-06-2019
  • Mathematics
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If a circle has a radius of one in the sector defined by a 37° arc what is the area in centimeter squared of the sector

If a circle has a radius of one in the sector defined by a 37 arc what is the area in centimeter squared of the sector class=

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sqdancefan
sqdancefan sqdancefan
  • 04-06-2019

Answer:

  (37/360)π cm² ≈ 0.322886 cm²

Step-by-step explanation:

The area of a sector is given by the formula ...

  A = (1/2)r²θ . . . . . where r represents the radius and θ is the central angle is radians

Here, you have r = 1 cm, and θ = (37°·π/180°), so the area is ...

  A = (1/2)(1 cm)²·(37π/180) = 37π/360 cm²

  A ≈ 0.322886 cm²

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