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24 November, 17:31

A circle of radius 10cm had a hole cut out of its centre to form a ring. Find the radius of the hole if the remaining area is 50% of the original area. Round to one decimal place

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  1. 24 November, 17:42
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    7.07cm

    Step-by-step explanation:

    A=πr2

    = 100 π

    = 314.159265359/2 (squared)

    50% = 157.07963268cm ^2

    We look for radius in the area formula

    A=πr2

    (A / π) = 157.07963268 / 3.14159265359 = √50 = 7.07106781187

    We do not need to half this as already has been squared.
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