central angle of 80 in pie diagram
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3
Answer:
20
%
of
360
°
=
72
°
Explanation:
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
%
×
360
°
20
100
×
360
=
72
°
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