Question

Q.A survey of 240 people found that 40 of them played badminton. In a pie chart what
would be the sector angle of this group?
a) 30°
b) 45°
C 60°
d) 75°​

Answer 1

Answer:

in a oie chart the sector angle is 60

Answer 2

The sector angle of the people playing badminton in the pie chart is 60°.

Given:-

Total people in survey (pt) = 240

People who play badminton (pb) = 40

To Find:-

The sector angle of the people playing badminton in the pie chart.

Solution:-

We can simply find out the sector angle of the people playing badminton in the pie chart by using the following procedure.

As

Total people in survey (pt) = 240

People who play badminton (pb) = 40

Fraction of people playing badminton (fb) =?

$fraction \: playing \: badminton = \frac{people \: who \: play \: badminton}{total \: people}$

$fb = \frac{pb}{pt}$

$fb = \frac{40}{240}$

$fb = \frac{4}{24}$

$fb = \frac{1}{6}$

So, the fraction of people playing badminton is 1/6.

Now, Let the Sector of the pie chart showing badminton people be x

then,

$fraction = \frac{x}{360}$

On equating both the fractions,

$\frac{1}{6} = \frac{x}{360}$

$x = \frac{360}{6}$

x = 60°

Hence, The sector angle of the people playing badminton in the pie chart is 60°.

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