Study the given pie-chart and answer the question that follows.
The pie-chart shows the number of female students in six different colleges P, Q, R, S, T and U, as percentages of the total number of female students in all these six colleges, taken together.
What is the sum of the measures of the central angles of the sectors corresponding to the number of females in colleges Q and U taken together?
Solution
Sum of the percentages of the number of females in colleges Q and U taken together = (15+12)% = 27%
As we know that $$100\% = 360^{\circ\ }$$
$$1\% = 3.6^{\circ\ }$$
Sum of the measures of the central angles of the sectors corresponding to the number of females in colleges Q and U taken together = 27% = $$27\times3.6^{\circ\ }$$
= $$97.2^{\circ\ }$$
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