Question

Workers in an office of 60 staff were asked their favourite type of take-away.

Answer 1

Answer:

Angles: 42°, 114°, 24°, 30°, 150°.

Step-by-step explanation:

Pie Charts

They represent the comparative values of a given variable subject to study. The whole pie is cut in angular sections where all the angles must sum 360°. If the sum of all the values is S and one particular value is x, then the angle of its circular section is given by

$\displaystyle angle=\frac{x}{S}\ 360^o$

We have the staff of an office is S=60. When asked about their favorite type of takeaway we get:

Pizza: 7. Its corresponding angle is

$\displaystyle angle=\frac{7}{60}\ 360^o=42^o$

Curry 19.

$\displaystyle angle=\frac{19}{60}\ 360^o=114^o$

Fish & chips 4

$\displaystyle angle=\frac{4}{60}\ 360^o=24^o$

Kebab 5

$\displaystyle angle=\frac{5}{60}\ 360^o=30^o$

Other 25

$\displaystyle angle=\frac{25}{60}\ 360^o=150^o$

We can see the sum of all angles is 360°