On the 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 larg...

On the pie chart, there are four sectors of which three angles are 45${}^{\circ }$, 90${}^{\circ }$ and 135${}^{\circ }$. If the smallest sector represents N28.00, how much is the largest sector?

Answer Details

To solve this problem, we need to first find the total angle of the pie chart, which is always 360∘. Next, we need to determine the value of one degree of the pie chart. We can do this by dividing the value of the smallest sector (N28.00) by its corresponding angle (45∘): N28.00 ÷ 45∘ = N0.62 per degree Now that we know the value of one degree, we can use it to find the value of the largest sector, which has an angle of 135∘: N0.62 × 135∘ = N83.70 Therefore, the largest sector represents N83.70, which is closest to the option N84.00.