List of top Mathematics Questions on Areas of Sector and Segment of a Circle asked in UP Board X

Area of sector of angle $\theta$ of a circle with radius $r$ will be:
Find the length of an arc of a circle of radius $14$ cm which subtends an angle of $30^\circ$ at the centre.
A chord of a circle of radius 14 cm subtends an angle of $120^\circ$ at the centre. Find the area of the corresponding segment of the circle.
The angle of a sector of a circle with radius of 6 cm is $60^\circ$. The area of the sector will be: