Question

16. If the radius of a circle is increased by 100%, then the area is increased by….​

Answer 1

It will be the double as

The radius is half of the circle and the diameter is the full length of a circle .

Answer 2

Answer:

$let \: the \: radius \: be \: r$

Now

original area

$\pi {r}^{2}$

Now Since radius is doubled the new radius is

$2r$

Therefore area is

$\pi {(2r)}^{2} = \pi4 {r}^{2}$

Now increase in area=

$\frac{ \pi4 {r}^{2} -\pi {r}^{2} }{\pi {r}^{2} } \times 100$

$= 3 \times 100$

$= 300percent$

Therefore change In area is 300%