clarissaicha2607 clarissaicha2607

31-05-2020
Mathematics

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By what number do you multiply the radius of a circle to double its area? Show the process to get the answer.

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TheLazyNobita TheLazyNobita

31-05-2020

Answer:

Area of circle = πr²

New doubled area = πR² ( r ≠ R )

As it is double of older area :

πR² = 2πr²

R² = 2r²

R = √2r

Thus we have to multiply the radius to √2 to double its area

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