How do you find the central angle of a pie chart for a section of the pie chart that represents 20% of the pie?

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Answer 1 · 2018-02-25T09:09:16

$20% " of " 360° = 72°$

In any sector, there are $3$ parts to be considered:

the arc length,
the sector area
the sector angle

They all represent the SAME fraction of the whole circle.

The arc length is a fraction of the circumference
The sector area is a fraction of the whole area
The sector angle is a fraction of $360°$

If the sector is $20%$ of the pie chart, then each of these parts is $20%$ of the whole.

The sector angle is therefore:

$20% xx 360°$

$20/100 xx 360 =72°$