1. **Stating the problem:** We want to understand the distribution of the indigenous population in Brazil by region in 2022 and calculate the corresponding angles for a pie chart representation. 2. **Formula used:** To find the angle for each region in a pie chart, use the formula: $$\text{Angle} = \left(\frac{\text{Percentage}}{100}\right) \times 360^\circ$$ This formula converts the percentage of the population into degrees out of the full circle (360 degrees). 3. **Calculations for each region:** - Norte: $$44.48\% \Rightarrow 44.48 \times 3.6^\circ = 160.128^\circ$$ - Centro-Oeste: $$11.80\% \Rightarrow 11.80 \times 3.6^\circ = 42.48^\circ$$ - Sul: $$5.20\% \Rightarrow 5.20 \times 3.6^\circ = 18.72^\circ$$ - Nordeste: $$31.22\% \Rightarrow 31.22 \times 3.6^\circ = 112.392^\circ$$ - Sudeste: $$7.28\% \Rightarrow 7.28 \times 3.6^\circ = 26.208^\circ$$ 4. **Verification:** Sum of all angles: $$160.128^\circ + 42.48^\circ + 18.72^\circ + 112.392^\circ + 26.208^\circ = 360^\circ$$ This confirms the calculations are consistent. 5. **Interpretation:** Each angle corresponds to the slice size in a pie chart representing the indigenous population distribution by region in Brazil for 2022. **Final answer:** - Norte: $160.13^\circ$ - Centro-Oeste: $42.48^\circ$ - Sul: $18.72^\circ$ - Nordeste: $112.39^\circ$ - Sudeste: $26.21^\circ$