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25 January, 22:23

What is the area of a sector of a circle with a radius of 6 inches and formed by a central angle that measures 90°?

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  1. 25 January, 22:30
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    Step-by-step explanation:

    The area of a sector can be written as a fraction of the area of a circle:

    A = (θ/360) πr²

    Given θ = 90° and r = 6 in:

    A = (90/360) π (6) ²

    A = (1/4) 36π

    A = 9π

    A ≈ 28.3

    The area of the sector is 9π in² or approximately 28.3 in².
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