Discussion
In a pie diagram, 5 percent is equal to ............ degree angle.
Answer: D
Five percent corresponds to an angle of 18.0 degrees.
A pie diagram represents the whole, 100 per cent, by the full circle of 360 degrees, so each per cent is 3.6 degrees:
\[ \begin{aligned} \theta &= \frac{5}{100} \times 360^{\circ} \\ &= 18^{\circ} \end{aligned} \]
The other values are fractions of the correct angle: 9.0 is half of it, as if the circle were 180 degrees, 4.5 a quarter and 3.0 a sixth. None of them corresponds to 5 per cent of a full circle of 360 degrees.
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