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 : 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

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 : If the curved surface area of a cylinder is $126\pi$ cm² and its height is 14 cm, what is the volume of the cylinder?

Option 1: $283 \frac{1}{2} \pi\ \mathrm{cm}^3$

Option 2: $137\frac{1}{2} \pi\ \mathrm{cm}^3$

Option 3: $128\frac{1}{2} \pi\ \mathrm{cm}^3$

Option 4: $125\frac{1}{2} \pi\ \mathrm{cm}^3$

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

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