Convert 10$°$ 10' 10" into the centesimal system.

10$°$ 10' 10"

=10$°$ +10'+ 10"

$=10°+{\left(\frac{10}{60}\right)}^{°}+{\left(\frac{10}{3600}\right)}^{°}$

$={10}^{°}+0.{167}^{°}+0.{003}^{°}$

$=10.{17}^{°}$

$\mathrm{In} \mathrm{radian} =10.17\times \frac{\mathrm{\pi }}{180}$

$=10.17\times 0.0174$

= 0.17741 radian