Question 43

Jambmaths question: 

On a pie chart, there are four sector of which three angles are 45o, 90o, and 135o. If the smallest sector represent N28.00. How much is the largest sector.

Option A: 

N96.00

Option B: 

N84.00

Option C: 

N48.00

Option D: 

N42.00

Jamb Maths Solution: 

$\begin{align}  & x+{{45}^{o}}+{{90}^{o}}+{{135}^{o}}={{360}^{o}}\text{    }\!\!\{\!\!\text{ Sum of angles at a point }\!\!\}\!\!\text{ } \\ & x={{360}^{o}}-{{270}^{o}}={{90}^{o}} \\ & {{45}^{o}}\to \to N28 \\ & {{135}^{o}}\text{ will be }\frac{{{135}^{o}}}{{{45}^{o}}}\times N28=N84.00 \\ & \text{The largest sector represents N84}.00. \\\end{align}$

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