Answer:
![\:](https://img.qammunity.org/2023/formulas/mathematics/college/2ggh1nmemdo9eckwr4kv18nc6ebnpn2pop.png)
Explanation:
It is given that, The circumference of a circle is 198 cm and we are to find the radius of the circle.
![\:](https://img.qammunity.org/2023/formulas/mathematics/college/2ggh1nmemdo9eckwr4kv18nc6ebnpn2pop.png)
To find the radius of the circle we must know this formula first :
![\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: 2 \pi r \: =Circumference_((circle))}}}}}} \: \: \bigstar \\ \\](https://img.qammunity.org/2023/formulas/mathematics/college/o0t7rb6ftmmd6eijnspfx6rz27fqit6t75.png)
Now substituting the values in the formula :
![\\{ \longrightarrow \qquad{ {{ \tt{ \: 2 * 3.14 * r \: =198}}}}} \\ \\](https://img.qammunity.org/2023/formulas/mathematics/college/tnktv8ligt7tzjru3twvnhwiw26if31hj0.png)
![{ \longrightarrow \qquad{ {{ \tt{ \: 6.28 * r \: =198}}}}} \\ \\](https://img.qammunity.org/2023/formulas/mathematics/college/z8c6r1pgq5kkrcgx3ne3bn08czgmex1fhx.png)
![{ \longrightarrow \qquad{ {{ \tt{ r \: = (198)/(6.28) }}}}} \\ \\](https://img.qammunity.org/2023/formulas/mathematics/college/da91q0opnrjm2g1lue1kpvt64r5ql7xvxx.png)
![{ \longrightarrow \qquad{ \pmb {{ \frak{ r \: = 31.528 }}}}} \\ \\](https://img.qammunity.org/2023/formulas/mathematics/college/4my1jfj3mctq9m2w693seofcb8gmvck728.png)
Therefore,
- The radius of the circle is 31.53 cm (Rounded to nearest hundredth)