we know that [the length of a circumference]=2*pi*r for r=10 cm [the length of a circumference]=2*pi*10-----> 62.8 cm
if 360° ( full circle) has a length of---------> 62.8 cm x--------------------------------------> 20.42 cm X=20.42*360/62.8-----> x+117.05°-------> x=117°