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 (in cm²) of radius 7 cm and central angle $60^{\circ}$ is: $\left(\right.$Take $\left.\pi=\frac{22}{7}\right)$

Option 1: $\frac{77}{2}$

Option 2: $77$

Option 3: $\frac{77}{3}$

Option 4: $\frac{77}{4}$

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 : A circular arc whose radius is 4 cm makes an angle of 45º at the centre. Find the perimeter of the sector formed. (Take $\pi=\frac{22}{7}$)

Option 1: $\frac{78}{7} \mathrm{~cm}$

Option 2: $\frac{72}{7} \mathrm{~cm}$

Option 3: $\frac{74}{7} \mathrm{~cm}$

Option 4: $\frac{76}{7} \mathrm{~cm}$

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 following formula is used to calculate which of the following?
$\frac{\text { Angle of arc at centre }}{360°} \times \pi \times \text{Diameter}$

Option 1: Length of a sector

Option 2: Area of an arc

Option 3: The radius of a circle

Option 4: Length of an arc