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9 October, 12:48

Suppose that the area between a pair of concentric circles is 49/pi. Find the length of a chord in the larger circle that is tangent to the smaller circle.

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  1. 9 October, 13:16
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    length of cord comes out to be 14

    Step-by-step explanation:

    Given,

    area of concentric circle = 49 π

    area of concentric circle = π (r₁² - r₂²)

    where r₁ = outer radius and

    r₂ = inner radius

    π (r₁² - r₂²) = 49 π

    r₁² - r₂² = 49 ... (1)

    from the figure you can see that

    r₁² - r₂² = l²

    l² = 49

    l = 7

    so length of cord = 2 l = 2*7 = 14

    hence the length of cord comes out to be 14
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