Question

180 ,210,150 are to be represented by a pie chart, the smallest angle drawn is

Answer 1

Answer:

Sum of all observation = 180 + 210 + 150

                                      = 540

Angle of 180 = 180/540 ×360

                     = 120°

Angle of 210 = 210/540 ×360

                     = 140°

Angle of 150 = 150/540 ×360

                     = 100°

Answer 2

The smallest angle drawn is 100°

Step-by-step explanation:

Given:

The records 180,210, and 150 are to represent on a pie chart

To find:

the smallest angle drawn from the records

Solution:

To represent the data on a pie chart, we have to convert it into angles

And for that, we need the total of the data

So total = 180+210+150

∴ Total = 540

Now, the angles will be of a total of 360°, as it is a circle

Thus, to convert the data into angles

Formula= data value X 360

                total data

∴ First angle = 180 X 360

                        540

∴ First angle = 0.333 X 360

∴ First angle = 120°

Similarly the second angle = 210 X 360

                                                540

∴ Second angle= 0.388 X 360

∴ Second angle=  140°

Finally, the Third angle =  150 X 360

                                          540

∴ Third angle= 0.27777778 X 360

∴ Third angle= 100°

Thus, the three angles for the data are 120°,140°,100°

The smallest angle drawn is 100° which is by the data value of 150

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