Three segments

The circle is divided into 3 segments. Segment A occupies 1/4 of the area. Segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C?

Result

C =  5/12
r = (Correct answer is: 3:4:5)

Step-by-step explanation:

$C=1-\frac{1}{4}-\frac{1}{3}=\frac{5}{12}=0.4167$

$$\begin{gathered} r=\frac{1}{4}:\frac{1}{3}:\frac{5}{12} \\ r=\frac{3}{12}:\frac{4}{12}:\frac{5}{12} \\ r=3:4:5 \end{gathered}$$

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