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 : The area of a sector of a circle is 88 sq. cm., and the angle of the sector is 45°. Find the radius of the circle. (Use $\pi=\frac{22}{7}$)

Option 1: $3 \sqrt{ 11} \mathrm{~cm}$

Option 2: $4 \sqrt{ 14} \mathrm{~cm}$

Option 3: $6 \sqrt{ 13} \mathrm{~cm}$

Option 4: $5 \sqrt{ 14} \mathrm{~cm}$

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 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: $\frac{77}{4}$