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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?

 Jan 1, 2022
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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

 Jan 1, 2022

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