Question

If the circumference of a circle increases from 2∏ to 4∏ then its area _____ the original area​

Answer 1

Answer:

Circumference of a circle is given by =2π×radius=2πr

If r=1, then circumference =2π units

So, area =πr

2

=π(1)

2

=π Units

New radius after increasing circumference:

2πr=4π

⇒r=2

New area =πr

2

=π(2)

2

=4π=4×older area

Hence, area becomes four times after increasing the circumference from 2π to 4π

Answer 2

Answer:

Area becomes four times after increasing the circumference from 2π to 4π .

Step-by-step explanation: