Question

If the radius of a circle is increased by 27%, then its area will increase by

Answer 1

it's area will increase by 61.29%

Answer 2

Answer:

The area will increase by 61.29%.

Step-by-step explanation:

Let the initial radius of the circle is r.

The area of circle is

$A=\pi r^2$

Now, the the radius of a circle is increased by 27%. New radius is

$r_1=r+r\frac{27}{100}=\frac{127r}{100}=1.27r$

New area is

$A_1=\pi (1.27r)^2=1.6129r^2\pi$

% change in area is

$\%change=\frac{A_1-A}{A}\times 100$

$\%change=\frac{1.6129\pi r^2-\pi r^2}{\pi r^2}\times 100$

$\%change=0.6129\times 100$

$\%change=61.29$

Therefore the area will increase by 61.29%.