If the area of a ring is 144cm² and the radius of the bigger circle is 2 times the radius of the smaller circle, find the radii of both the circles.
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area of ring =area of big circle-area of small circle
144=π(2r)²-πr²
144=π[4r²-r²]
144/3.14=3r²
3r²=45.85
r²=15.28
r=3.91cm
2r=2×3.91=7.82cm
radius of big circle=7.82cm and radius of samll circle is=3.91cm
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