Question

Draw a pie chart to represent the above information using the table given below – Sr.no Type of Meat Water requirement (in litres) Measure of angles
1
BEEF
15,400 L
2
SHEEP
10,400 L
3
PORK
6,000 L
4
CHICKEN
4200 L
TOTAL
NOTE – Use this formula to calculate the measure of angle
MEASURE OF ANGLE =

Answer 1

$\large\underline{\sf{Solution-}}$

↝ Measure of angle of each value for pie-chart:

From the given data

$\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{array}{c|c|c}\sf Type \: of \: meat&\sf Water \: requirement\: &\sf \:Central \: angle\\\frac{\qquad \qquad}{}&\frac{\qquad \qquad}{}&\frac{\qquad \qquad}{}\\\sf Beef&\sf 15400&\sf\dfrac{15400}{36000} \times 360 = 154 \\\\\sf Sheep&\sf 10400&\sf\dfrac{10400}{36000} \times 360 = 104 \\\\\sf Pork &\sf 6000&\sf\dfrac{6000}{36000} \times 360 = 60 \\\\\sf Chicken&\sf 4200&\sf\dfrac{4200}{36000} \times 360 = 42\\\\\sf &\sf &\sf\\\frac{\qquad}{}&\frac{\qquad}{}&\frac{\qquad \qquad}{}\\\sf & \sf & \end{array}}\end{gathered}\end{gathered}\end{gathered}$

Verification :-

Sum of all central angles = 154 + 104 + 60 + 42 = 360°.

Now,

We construct a pie chart.

We have to follow the following steps, mentioned below to construct a pie chart:

Step :- 1. Construct a relatively big circle.

Step :- 2. Now, we have to find the total sum of all the frequencies, that is, the sum of all values assigned to each section.

Step :- 3. To find the central angle, we have to use the formula:

$\boxed{\sf{Central \: angle \: = \: \dfrac{frequency}{Total\:sum \: of \: frequency}\times360^o}}$

This will give us the angle each section as evaluated above.

Step :- 4. To provide a section of the circle for each value, we need to draw a radius and then keep the protractor in the center of the circle in such a way that it measures 0°. Find the measure on the protractor which is required for that specific value of the observation.

Step :- 5. Draw an angle

Step :- 6. Repeat these steps until we fill the pie chart.