Question : An arc of length 23.1 cm subtends an 18° angle at the centre. What is the area of the circle?
$\mathrm{[Use ~\pi=\frac{22}{7} ]}$

Option 1: 16978.50 cm²

Option 2: 16988.50 cm²

Option 3: 16878.50 cm²

Option 4: 16798.50 cm²

Question : A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The area of the circle is: (take $\pi=\frac{22}{7}$)

Option 1: 125 cm²

Option 2: 230 cm²

Option 3: 550 cm²

Option 4: 616 cm²

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 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 area of the sector of a circle with a radius of 4 cm containing an angle of 30°.

Option 1: 7.186 cm²

Option 2: 6.186 cm²

Option 3: 4.186 cm²

Option 4: 5.186 cm²