JAMB 2003 · UME · Q44

Statistics: data & averages

On a pie chart there are four sectors, three of which have angles $45^\circ$ , $90^\circ$ and $135^\circ$ . If the smallest sector represents ₦28.00, how much is the largest sector?

Worked solution (try it first)

The four angles add up to $360^\circ$ , so the fourth is $360^\circ - (45^\circ + 90^\circ + 135^\circ) = 90^\circ$ .
So the largest sector is $135^\circ$ , which is 3 times the smallest, $45^\circ$ .
It represents $3 \times 28 = 84$ naira: ₦84.00, option D.

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