Question 73

The following pie chart shows the actual number (in '000) of books printed in a year by 6 different publishers.

What is the sum of the central angles made by sector P4 and sector P6?

Solution

Sum of the number of books printed by all the publishers = 24000+36000+60000+56000+62000+42000

= 280000

So $$360^{\circ\ }\ =\ 280000$$

$$280000=360^{\circ\ }$$

$$1=\frac{360^{\circ\ }}{280000}$$

Sum of the number of books printed by P4 and P6 publishers = 56000+42000 = 98000

$$98000=\frac{360^{\circ\ }}{280000}\times98000$$

Sum of the central angles made by sector P4 and sector P6 = $$\frac{360^{\circ\ }}{280000}\times98000$$

= $$\frac{9^{\circ\ }}{1}\times14$$

= $$126^{\circ\ }$$


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