The radius of the circle is 14cm.find the radius of the circle whose area is double the area of the given Circle
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Step-by-step explanation:
Take 14 as r1 and the radius which we have to find as r2.
using the formula for finding the area of a circle,we can find it
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Answer:
14√2
Step-by-step explanation:
the radius of the given circle is = 14 cm
the area of the given circle is = πr² = 22/7 × 14 × 14 =(44×14) = 616
the area of the other circle is = 2πr² = (2×616) = 1232
let the radius of the unknown circle be = R
∴ πR² = 1232
or, 22/7 R² = 1232
or, R² = 1232×7/22 = (56× 7)
or, R = √{(7×7)×8
or, R = 7×2√2 = 14√2
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