Question

if the radius of a circle is doubled, then its area will increase by ___ times

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Answer 1

Answer:

4 times

Step-by-step explanation:

2 radius= 1 diameter

if radius is doubled, it is 4 radius that is 2 diameter

tgerefore, the area will increase by 4 times

Answer 2

Answer:

let initial radius be r then area of circle be A=

$\pi \: r ^{2}$

if radius is doubled then area=

$\pi(2r) ^{2}$

$4\pi \: r ^{2}$

=4 A

=it is increased by 4 times