passpadi

2003

Mathematics

JAMB

On a pie chart, 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.

N96.00

B.

N84.00

C.

N48.00

D.

N42.00

Correct Answer: N84.00

Explanation

Let the 4th angle be = x ∴ x + 45 + 90 + 135 = 360 x + 270 = 360 x = 360 - 270 x = 90 ∴ smallest angle = 45° 45° = N28.00 1° = 28.00/45 135° = (28.00/45) * (135/1) = N84.00

Let the 4th angle be = x ∴ x + 45 + 90 + 135 = 360 x + 270 = 360 x = 360 - 270 x = 90 ∴ smallest angle = 45° 45° = N28.00 1° = 28.00/45 135° = (28.00/45) * (135/1) = N84.00
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