Length of arc = 11 cm
Answer:
Area of sector =115.5 square cm
Step-by-step explanation:
[tex]Length of arc = \frac{30 \degree}{360 \degree} \times 2 \times \frac{22}{7} \times 21 \\ \\ = \frac{1}{12} \times 2 \times 22 \times 3 \\ \\ = \frac{1}{12} \times 6 \times 22\\ \\ = \frac{1}{2} \times 22\\ \\ = 11 \: cm \\ \\ \\ \\ area \: of \: sector = \frac{ 30 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{1}{12} \times \frac{22}{7} \times {21}^{2} \\ \\ = \frac{1}{12} \times \frac{22}{7} \times 21 \times 21 \\ \\ = 115.5 \: {cm}^{2} \\ [/tex]
