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The radii of two circles are 5 cm and 12 cm. The area of a third circle is equal to the sum of the area of the two circles. The radius of the third circle is:

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  1. Explanation:

    Area of two circles = π(5^2+12^2)=169πcm^2

    ⇒πr^2=169π

    r^2=169

    r=13cm

    ∴ Radius of third circle = 13 cm

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