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15 April, 06:35

A circle with radius 10 has a sector with a central angle of 2/5pi radians.

What is the area of the sector?

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Answers (1)
  1. 15 April, 06:48
    0
    20π square units

    Step-by-step explanation:

    The area of a sector with central angle θ is ...

    A = (1/2) r²θ

    Filling in the given values, we find the area to be ...

    A = (1/2) (10 units) ² (2/5π) = 20π units²

    The area of the sector is 20π units².
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