The arc of the circle makes an angle of 36 degree at its center
Arc length = 26cm
The expression for the arc length of the circle is :
[tex]\begin{gathered} \text{Arc length=2}\pi r(\frac{\theta}{360}) \\ \text{Here we have }\theta=36\text{ , Arc length = 26 and we have to solve for r} \\ 26=2\Pi r(\frac{36}{360}) \\ \frac{26}{2\Pi}=r(\frac{1}{10}) \\ r=\frac{13\times10}{3.14} \\ r=41.4\text{ cm} \end{gathered}[/tex]So, the radius = 41.4cm
