Question

the area of a circle is increased by 22 cm square when its radius is increased by 1m the original radius of the circle is​

Answer 1

$The original radius of the circle is. 3 cm.$

Answer 2

Step-by-step explanation:

Let the original radius be r cm .

Then, as per the question

$\[ \begin{aligned} & \pi \times\left[(r+1)^{2}-r^{2}\right] &=22 & \\ \Rightarrow & \frac{22}{7} \times[(r+1+r)(r+1-r)] &=22 & \\ \Rightarrow & & 2 r+1 &=7 \\ \Rightarrow & & 2 r &=(7-1) cm =6 cm \\ \Rightarrow & & r &=\frac{6}{2} cm =3 cm . \end{aligned} \]$