A circle is divided into 4 sectors, the ratio of whose areas is 1 : 2 : 3 : 6. What is the central angle of the largest sector in degrees?
The ratio of the central angles will be equal to the ratio of the areas of the sectors.
1 + 2 + 3 + 6 = 12
Dividing 360o by 12, gives each portion an angle measurement of 30o.
6 x 30o = 180o