The area of a circle is given by the formular:
![A=\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/lcgfavc89jro4qntamn2b9gfliomu1jwuf.png)
Where A is area in cm squared, pi is 3.14 and r is radius in cm
Given that the area is 19.625 cm^2 then use the values in the equation as;
A= pi * r *r
19.625 = 3.14 * r^2
![19.625=3.14r^2](https://img.qammunity.org/2023/formulas/mathematics/college/uge7srggnu9uqrhxb88awb18l0795mjx4h.png)
Divide both sides by 3.14 as;
![19.625/3.14=r^2](https://img.qammunity.org/2023/formulas/mathematics/college/tf9gskp5e1hq17bw577u78zbmokd1e6g1i.png)
![6.25=r^2\text{ , r=}\sqrt{6.25\text{ }}](https://img.qammunity.org/2023/formulas/mathematics/college/4jmqfdtm81adi2ppxgqrlv810lequtvbqr.png)
r=2.5 cm