Answers with step-by-step explanation:
1. Area of sector 1 = [tex]\frac{90}{360} \times \pi \times 12^2 = 36\pi[/tex]
2. Area of sector 2 = [tex]\frac{45}{360} \times \pi \times 19^2 = \frac{2527}{8} \pi[/tex]
3. Area of sector 3 = [tex]\frac{270}{360} \times \pi \times 15^2 = \frac{675}{4} \pi[/tex]
4. Area of sector 4 = [tex]\frac{270}{360} \times \pi \times 6^2 = 27 \pi[/tex]
5. Arc length of sector 1 = [tex]\frac{90}{360} \times 2 \times \pi \times 12 = 6\pi[/tex]
6. Arc length of sector 2 = [tex]\frac{315}{360} \times 2 \times \pi \times 19 = \frac{133}{4} \pi [/tex]
7. Arc length of sector 3 = [tex]\frac{270}{360} \times 2 \times \pi \times 15 = \frac{45}{2}\pi [/tex]
8. Arc length of sector 4 = [tex]\frac{270}{360} \times 2 \times \pi \times 6 = 9\pi[/tex]
