Pie-chart illustrates proportions into sectors or slices. Each sector denotes a proportionate part of the whole. If you’re trying to find out the composition of something, Pie-chart works the best at that time.

## Pie Chart Value

The total value of the pie is always 100%.

## Pie Chart Example:

Imagine a teacher surveys her class on the basis of their favorite Sports:

Football | Hockey | Cricket | Basketball | Badminton |

10 | 5 | 5 | 10 | 10 |

The data above can be represented by a pie-chart as following and by using the circle graph formula i.e. the pie chart formula given below. It makes the size of portion easy to understand.

## Pie Chart Formula

**Step 1**: First, Enter the data into the table.

Football | Hockey | Cricket | Basketball | Badminton |

10 | 5 | 5 | 10 | 10 |

**Step 2**: Add all the values in the table to get the total.

I.e Total students are 40 in this case.

**Step 3**: Next, divide each value by the total and multiply by 100 to get a percent:

Football |
Hockey |
Cricket |
Basketball |
Badminton |

10\(\div\) 40 ✕ 100=25% | 5\(\div\) 40 ✕ 100=12.5% | 5\(\div\) 40 ✕ 100=12.5% | 10\(\div\) 40 ✕ 100=25% | 10\(\div\) 40 ✕ 100=25% |

**Step 4**: Next to know how many degrees for each “pie sector” we need, we will take a full circle of 360\(^{\circ}\) and follow the calculations below:

Central angle of each component = (\(\frac{Value\, of\, each \,component}{Sum\, of\,values\, of\, all\,componenents}\)\(\times\)360\(^{\circ}\))

Football |
Hockey |
Cricket |
Basketball |
Badminton |

10\(\div\) 40 ✕ 100=25% | 5\(\div\) 40 ✕ 100=12.5% | 5\(\div\) 40 ✕ 100=12.5% | 10\(\div\) 40 ✕ 100=25% | 10\(\div\) 40 ✕ 100=25% |

10\(\div\) 40 ✕ 360=90\(^{\circ}\) | 5\(\div\) 40 ✕ 360=45\(^{\circ}\) | 5\(\div\) 40 ✕ 360=45\(^{\circ}\) | 10\(\div\) 40 ✕ 360=90\(^{\circ}\) | 10\(\div\) 40 ✕ 360=90\(^{\circ}\) |

Now you can draw a pie chart.

**Step 5**: Draw a circle and use the protractor to measure the degree of each sector.

**Tip **– You can color each sector and label it. Example of Label is: Football (25%)

## Uses of Pie Chart

Within a business, it is used to compare areas of growth such as turnover, profit, and exposure.

To represent categorical data.

### Advantages of a Pie Chart

- The picture is simple and easy-to-understand
- Data can be represented visually as a fractional part of a whole
- It helps in providing an effective communication tool for the even uninformed audience
- Provides a data comparison for the audience at a glance to give an immediate analysis or to quickly understand information
- No need for readers to examine or measure underlying numbers themselves which can be removed by using this chart
- To emphasize few points you want to make, you can manipulate pieces of data in the pie chart

### Disadvantages of a Pie Chart

- It becomes less effective, If there are too many pieces of data to use
- If there are too many pieces of data, and even if you add data labels and numbers may not help here, They themselves may become crowded and hard to read
- As this chart only represents one data set, You need a series to compare multiple sets
- This may make it more difficult for readers when it comes to analyze and assimilate information quickly

You can practice another pie chart question for class 8 given below:

**Solve on your own: (Practice Question)**

**Question:** Priya lists down her monthly expenditure as follows:

Expenditure |
Amount |

Rent | 4000 |

Food | 5400 |

Clothing | 2800 |

Savings | 400 |

Draw a pie chart for her monthly expenses.

You might also like to practice some more Mathematical topics. Download BYJU’S for a variety of topics and concepts to learn from.

Learn More: | |
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Addition and Subtraction of Fractions | Continuous Frequency Distribution |

Differentiation | Chord of a Circle and Theorem |