Name: Reading a Pie Chart
Uploaded: 2019-07-19
Duration: 4 min 23 s
Description: Like actual pies, pie charts have sectors that are a certain portion of the whole. When data is represented by pie charts, data interpretation is interesting...

Question

Complete the table given below and then draw a pie chart to express the amount spent by five teenaged boys A, B, C, D and E on recreation, in a month.

Boy	A	B	C	D	E	Total
Expenditure on recreation (in $₹$ )	$510$	$x$	$450$	$y$	$300$	$2160$
Central angle	$θ_{1}$	$80 °$	$θ_{2}$	$70 °$	$θ_{3}$	$360 °$

Accepted Answer

Complete the table given below and then draw a pie chart to express the amount spent by five teenaged boys A, B, C, D and E on recreation, in a month.

Boy A B C D E Total

Expenditure on recreation (in $₹$ ) $510$ $x$ $450$ $y$ $300$ $2160$

Central angle $θ_{1}$ $80 °$ $θ_{2}$ $70 °$ $θ_{3}$ $360 °$

Equating the sum of central angles to the total expenditure by the five teenaged boys, we get:

$360 ° = 2160$
$\Rightarrow 1 ° = \frac{2160}{360} = ₹ 6 . . . (1)$

Using $(1)$ , the table can now be completed as given below:

Boy A B C D E Total

Expenditure on recreation (in $₹$ ) $510$ $480$ $450$ $420$ $300$ $2160$

Central angle $85 °$ $80 °$ $75 °$ $70 °$ $50 °$ $360 °$

Now we draw a pie chart using the following steps of construction:
$1 .$ Draw a circle with any convenient radius.
$2 .$ Using the protractor, draw sectors corresponding to the central angles calculated in the table above.
$3 .$ Shade/Color the sectors so obtained differently.
$4 .$ Label each sector.
Thus we obtain the required pie chart as shown in the figure given below:

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