Question : The area of the sector of a circle of radius 12 cm is $32 \pi \;\mathrm{cm}^2$. Find the length of the corresponding arc of the sector.

Option 1: $\frac{16}{3} \pi$ cm

Option 2: $\frac{13}{3} \pi$ cm

Option 3: $\frac{10}{3} \pi$ cm

Option 4: $\frac{8}{3} \pi$ cm

Question : Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of $108^{\circ}$. [Use $\pi=\frac{22}{7}$]

Option 1: 6.6 cm

Option 2: 5.6 cm

Option 3: 13.2 cm

Option 4: 11.2 cm

Question : The area of a sector of a circle is 110 cm² and the central angle of the sector is 56°, what is the circle's radius? (Take $\pi=\frac{22}{7}$)

Option 1: 35 cm

Option 2: 20 cm

Option 3: 25 cm

Option 4: 15 cm

Question : The area of a sector is 1848$\mathrm{~m}^2$ and the central angle of the sector is $270°$. Find the radius of the circle. (Take $\pi=\frac{22}{ 7}$)

Option 1: 784 m

Option 2: 22 m

Option 3: 27 m

Option 4: 28 m

Question : The radius of a circle with centre at O is 6 cm and the central angle of a sector is 40°. Find the area of the sector.

Option 1: $6 \pi ~\mathrm{cm}^2$

Option 2: $5 \pi ~\mathrm{cm}^2$

Option 3: $4 \pi ~\mathrm{cm}^2$

Option 4: $8 \pi ~\mathrm{cm}^2$