The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of teh budget it represents, how many degrees of the circle should be used to represent an item that is 15 percent of the budget?
(A) 15º
(B) 36º
(C) 54º
(D) 90º
(E) 150º
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The obvious answer is 15% of the circle angular amplitude which is... 360º. Mental calculation can be made if we think that 15% is 3x5% = 3 x 1/20. So lets transform the product 15% x 360 = 3 x 360/20 = 3 x 18 = 3 x (2x9) = (3x2) x 9 = 6x9 = 54º. It helps if you still remember the multiplication tables from primary school... :-)
So, let's fill-up option (C)
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