MATHEMATICS
JAMB 2003 - Question 43
Mathematics 2003 JAMB Past Questions - Question 43: On a pie chat,there are four sectors of which three angles are 45,90,and 135.If the smallest sector represents N28.00.how much is the largest sector ?
A:
B:
C:
D:
Correct Answer
B
Explanation
To find the measure of the largest sector, we need to determine the measure of the fourth angle in the pie chart.The sum of the measures of all four angles in a pie chart is 360 degrees.Given that three angles are 45, 90, and 135 degrees, we can find the measure of the fourth angle:360 - (45 + 90 + 135) = 360 - 270 = 90 degreesNow, we can calculate the ratio of the smallest sector to the largest sector:Smallest sector angle / Largest sector angle = N28.00 / x45 degrees / 90 degrees = N28.00 / xCross-multiplying, we get:45x = 90 * N28.0045x = 2520Dividing both sides by 45, we find:x = 2520 / 45x = N56.00Therefore, the largest sector represents N56.00.
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