The pie chart, given here, shows the various expenses of a publisher in the production of a magazine. [Image] What is the difference between the measures of the central angles of sectors for binding charges and paper cost?

The pie chart, given here, shows the various expenses of a…

The pie chart, given here, shows the various expenses of a publisher in the production of a magazine.

What is the difference between the measures of the central angles of sectors for binding charges and paper cost?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 28.8°.

Central angle = ${P \over 100}\times 360^0$

Where P is the given percentage in the graph.

According to the given pie-chart,

Percentage expense on binding = 18%

Central angle corresponding to binding charges = ${P \over 100}\times 360^0$

⇒ ${18 \over 100}\times 360^0$ = 64.8°

Percentage expense on paper cost = 10%

Central angle corresponding to paper cost = ${P \over 100}\times 360^0$

⇒ ${10 \over 100}\times 360^0$ = 36°

Now, required difference = 64.8° - 36°

⇒ 28.8°

Hence the difference between the measures of the central angles of sectors for binding charges and paper cost is 28.8°.