The difference between the radii of bigger circle and smaller circle is 14 cm and the difference between their areas is 1056 cm2 . Radius of the smaller circle is _

The difference between the radii of bigger circle and smaller circle is 14 cm and the difference between their areas is 1056 cm2 . Radius of the smaller circle is _ Correct Answer 5 cm

Let the radius of the smaller circle be r cm Then, radius of bigger circle = (r + 14)cm Given, π(r + 14) 2−π(r) 2 = 1056 ⇒ π(r 2 + 28r + 196)−πr 2 = 1056 ⇒πr 2 + 28πr + 196π−πr 2 = 1056 ⇒28 × 22/ 7 + 196x22/ 7 = 1056 ​ = >88r + 616 = 1056 ⇒r = 5 cm
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