Question

4. If a household spends 75% of
his income on food, then
degree measure of an angle in
the pie diagram should be:​

Answer 1

Given : a household spends 75% of  his income on food

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

Solution:

pie Diagram also calles pie chart

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

Complete circle = 360°  represents 100 % Data

100 %  Data  =  360°

=> 1 %  Data  =  360°/100 = 3.6°

=> 75 %  Data  =  75 x 3.6°  = 270°

angle in  the pie diagram should be 270°   if household spends 75% of

his income on food,

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Answer 2

Answer:

270

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.

Now considering the given data,

Total income in percentage is 100

Percentage income spend on food : 75

Total degrees in a complete circle are 360

Angular representation of income spend on food;

= 75 / 100 x 360

= 270 degrees