Question

In a pie chart, the central angle of a sector is 72º. Then the fraction of the circle represented by the sector​

Answer 1

72/360

= 12/60 = 1/5 fraction of whole circle

Answer 2

Circle

The pie chart has the central angle of the sector as $72\textdegree$.

As, we know that,

$sector \ angle=\frac{value}{total \ value }\times 360\textdegree$

The fraction of the circle represented by the sector is

$72\textdegree=\frac{value}{total\ value} \times 360\textdegree$

$\implies \frac{72\textdegree}{360\textdegree} =required \ fraction \\\\\implies \frac{1}{5} =fraction$

Hence, it can  be seen that this sector will the 20% of the pie chart or the one-fifth of the pie chart.

Note: Pie chart is the circular representation of different quantity with the help of number of sectors.