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SOLUTION
Given the figure below;
The radius of the inscribed circle is DE;
[tex]\begin{gathered} To\text{ determine DE;} \\ CE\text{ is divided into CD:DE}\rightarrow2:1 \\ DE=\frac{1}{3}\times CE \\ DE=\frac{1}{3}\times8.7 \\ DE=2.9 \\ The\text{ radius of the inscribed circle is 2.9} \end{gathered}[/tex]The radius of the circumscribed circle is CD;
[tex]\begin{gathered} To\text{ determine CD:} \\ CD=\frac{2}{3}\times CE \\ CD=\frac{2}{3}\times8.7=5.8 \\ The\text{ radius of the circumscribed circle is 5.8} \end{gathered}[/tex]