Respuesta :

Answer: 4

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex]r²θ

50 = [tex]\frac{1}{2}[/tex](5)²θ

100 = (5)²θ

100 = (25)θ

4 = θ

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Answer: 1570.80 cm²

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex]r²θ

A = [tex]\frac{1}{2}[/tex](100)²[tex](\frac{\pi}{10})[/tex]

A = 500π

A = 1570.80

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Answer: 19.63 m²

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex]r²θ

  = [tex]\frac{1}{2}[/tex](5)²[tex](\frac{\pi} {2})[/tex]

  = [tex]\frac{25\pi} {4}[/tex]

  = 19.63

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Answer: 15°

Step-by-step explanation:

[tex]\frac{\pi }{180} = \frac{\pi} {12x}[/tex]

180 = 12x

  15 = x

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Answer: A

Step-by-step explanation:

Quadrant I: 0° - 90°

Quadrant II: 90° - 180°

Quadrant III: 180° - 270°

Quadrant IV: 270° - 360°

255° is in Quadrant III