Question

What will be the degree measure of an angle in the pie diagram if a household spends 80% of his income on a good

Answer 1

Given : a household spends 80% of his income on a good

To Find : degree measure of an angle in the pie diagram

Solution:

in Pie diagram 100 % refers to 360°  angle

100  %   =   360°

1 %  = (360/100) = 3.6°

80 %  = 80 x 3.6°

=> 80 %  =  288°

if a household spends 80% of his income on a good then degree measure of an angle in the pie diagram = 288°  

A pie chart (or a circle chart) is a circular statistical graphic, which is divided into slices to illustrate numerical proportion.

In a pie chart, the arc length of each slice (and consequently its central angle and area), is directly proportional to the quantity it represents.

In a pie chart, each sector represents a particular part of data  

and  the magnitude of the sector is directly proportional to the magnitude of the specific part of the data

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Answer 2

Answer:

288 degrees

Explanation:

Speaking in general, a pie chart gives a percentage or angular representation of a particular data when it is compared to all the data set. A complete pie chart gives a shape of a circle having 360 degrees angle

Now considering the given data,

Let pie chart fully represents the income spending

Now percentage of income spent of a good is 80%

Total degrees in a complete circle are 360

Angular representation of that good will be;

= 80 / 100 x 360

= 288 degrees