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The radius of a circle is 4 kilometers. What is the angle measure of an arc bounding a sector with area 2​ square kilometers? plsss help meeeeee!!!

Sagot :

Sqdancefanidn

Answer:

  1/4 radian = 45°/π ≈ 14.32°

Step-by-step explanation:

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

  A = 1/2r²θ . . . . . radius r and central angle θ in radians

Then the angle is ...

  θ = 2A/r² . . . . . radians

  θ = 2(2 km²)/(4 km)² = 4/16 = 1/4 . . . . radian

The angle measure is 1/4 radian = 45°/π ≈ 14.32°

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