Chunli61599
Chunli61599 Chunli61599
  • 23-07-2020
  • Mathematics
contestada

The radius of a circle is 4 miles. What is the area of a sector bounded by a 90° arc?​

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sheleseflowers sheleseflowers
  • 23-07-2020

Answer:5

Step-by-step explanation:

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unicorn3125
unicorn3125 unicorn3125
  • 23-07-2020

Answer:

             [tex]\bold{4\pi\ square\ miles\approx12,56\ square\ miles}[/tex]

Step-by-step explanation:

360°:4 = 90° so the area of a sector bounded by a 90° arc is a quarter of area of a circle of the same radius.

[tex]A=\frac14\pi R^2=\frac14\pi\cdot4^2=\frac14\pi\cdot16=4\pi\approx4\cdot3,14=12,56\ square\ miles[/tex]

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