itzkrisdaboss37 itzkrisdaboss37
  • 12-06-2021
  • Mathematics
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In circle N with m
See diagram below

In circle N with m See diagram below class=

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Corsaquix
Corsaquix Corsaquix
  • 12-06-2021

Answer:

[tex]113.10[/tex]

Step-by-step explanation:

The area of a sector with measure [tex]\theta[/tex] and radius [tex]r[/tex] is given by [tex]A_{sec}=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex].

What we're given:

  • [tex]r[/tex] of 12
  • [tex]\theta[/tex] of [tex]90^{\circ}[/tex]

Substituting given values, we get:

[tex]A_{sec}=12^2\pi\cdot \frac{90}{360},\\\\A_{sec}=144\pi\cdot \frac{1}{4},\\\\A_{sec}\approx \boxed{113.10}[/tex]

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