#### Question

Represent the following data with the help of a pie-diagram:

Items | Wheat | Rice | Tea |

Production (in metric tons) | 3260 | 1840 | 900 |

#### Solution

We know:

Central angle of a component = (component value/sum of component values x 360)

Here, total production = 6000 (in metric tons)

Thus, the central angle for each component can be calculated as follows:

Item | Production (in metric tons) |
Sector angle |

Wheat | 3260 | 3260/6000 x 360 = 195.6 |

Rice | 1840 | 1840/6000 x 360 =1 10.4 |

Tea | 900 | 900/6000 x 360 = 54 |

Total = 6000 (in metric tons)

Now, the pie chat representing the given data can be constructed by following the steps below:

Step 1 : Draw circle of an appropriate radius.

Step 2 : Draw a vertical radius of the circle drawn in step 1.

Step 3 : Choose the largest central angle. Here, the largest central angle is 195.6^{o}. Draw a sector with the central angle 195.6 ^{o} in such a way that one of its radii coincides with the radius drawn in step 2 and another radius is in its counter clockwise direction.

Step 4 : Construct the other sectors representing the other items in the clockwise direction in descending order of magnitudes of their central angles.

Step 5 : Shade the sectors with different colours and label them as shown in the figure below.