Question

Calculate the degree measure of the part of cotton and measure it.

Answer 1

Hint: A pie chart is a type of graph that displays data in a circular graph.Each slice of the pie is relative to the size of
that category in the group as a whole. The entire “pie” represents 100 percent of a whole, while the pie “slices”
represents portions of the whole
In a pie chart 100% or angle at a point is equal to 360° in the given pie chart, cotton is 15% of the total 100%.So, convert this percentage in terms of angle(degrees) and solve it.
Now, we know that, in a circle, the complete angle is 360°.
Formula used: $\deg ree = \dfrac{{360}}{{percentage}}$.

Complete step-by-step answer:
$\therefore 100\% $ represents 360° in the given figure
1% represent \[{\left( {\dfrac{{360}}{{100}}} \right)^o} = {\left( {\dfrac{{18}}{5}} \right)^o}\]
We have to calculate degree measure of cotton
$
\Rightarrow 15\% \,\, \\
\Rightarrow {\left( {15 \times \dfrac{{18}}{5}} \right)^o} \\
$
= (3x18)° = 54°.

Note:Make sure to calculate the value in accordance to the unit in which it is asked(degree or radians) and then express it accordingly.