passpadi

2017

Mathematics

POST UTME

On a pie chart, there are four sections of which three angles are 45° 90° and 135°, if the smallest section represent N28 how much is the largest section

A.

N48

B.

N84

C.

N28

D.

N82

Correct Answer: N84

Explanation

Sum of the angles is 360 degrees

The forth angle is

360 - (45+90+135) = 90 degrees


Let xx be the total sector

For the small sector 45/36045/360 X xx


45xx = 360 X 28


xx =__360 X 28___

45

Then, largest sector = 135/360 X 224 = N84

Sum of the angles is 360 degrees

The forth angle is

360 - (45+90+135) = 90 degrees


Let xx be the total sector

For the small sector 45/36045/360 X xx


45xx = 360 X 28


xx =__360 X 28___

45

Then, largest sector = 135/360 X 224 = N84

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