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

Question

asked Aug 10, 2021 110k views

1 Answer

Alaina · Answer 1 · 2021-08-16T23:02:49+0000

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