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 of a circle is 308 cm², with the central angle measuring 45°. The radius of the circle is:

Option 1: 14 cm

Option 2: 21 cm

Option 3: 7 cm

Option 4: 28 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 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 : An arc on a circle, whose length is 19.25 cm, subtends an 18° angle at the centre. What is the area of the circle? [Use $\pi = \frac{22}{7}$]

Option 1: 11796.625 cm²

Option 2: 11786.625 cm²

Option 3: 11780.625 cm²

Option 4: 11790.625 cm²