List of top Mathematics Questions on Areas of Sector and Segment of a Circle

A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.
An arc of length $2.2\text{ cm}$ subtends an angle $\theta$ at the centre of the circle with radius $2.8\text{ cm}$. The value of $\theta$ is
A circle of diameter $20\text{ cm}$ is equally divided into five sectors. Find the area and perimeter of one of the sectors.
The area of a sector of a circle of radius $10\text{ cm}$ is $\frac{55}{3}\text{ cm}^2$. The value of central angle is
A circle of diameter $20\text{ cm}$ is equally divided into five sectors. Find the area and perimeter of one of the sectors.
An arc of length $2.2\text{ cm}$ subtends an angle $\theta$ at the centre of the circle with radius $2.8\text{ cm}$. The value of $\theta$ is
Chord AB subtends an angle of 120º at the centre O of the circle with radius \(\frac{21}{2}\) cm. Find the perimeter of shaded segment ACB. (Use \(\sqrt{3} = 1.7\))
A circle is divided into 16 identical sectors. If radius of the circle is 7 cm, area of each sector is
Area of sector of a circle with radius 18 cm is 198 cm\(^2\). The measure of central angle is
Chord AB of a circle with centre O and radius 21 mm subtends an angle of \(120^\circ\) at the centre. Find the perimeters of the shaded region. (Use \(\sqrt{3} = 1.73\))
A circle is divided into 16 identical sectors. If radius of the circle is 7 cm, area of each sector is
Assertion (A) : In a circle of radius 21 cm, an arc of length 22 cm subtends an angle of 60\(^\circ\) at the centre.
Reason (R) : The length of arc of a sector of a circle of radius r and central angle \(\theta\) is \(\frac{2\pi r\theta}{360}\).
The perimeter of sector of a circle of radius 21 cm and central angle 60\(^\circ\), is
Shown in the given figure is a circle with centre O. The area of the minor sector is $7 \text{ cm}^2$. Area of circle is :
In the given figure, O is the centre of circle. XYZ is an arc of the circle subtending an angle of $45^\circ$ at the centre. If the radius of the circle is $32 \text{ cm}$, then the length of the arc XYZ is :
In the given figure, chord AB subtends an angle of 120\(^{\circ}\) at the centre of the circle with radius 7 cm. Find (i) perimeter of major sector OACB, and (ii) area of the shaded segment, if area of \(\Delta\) OAB = 21.2 cm\(^2\).
In the given figure, chord AB subtends an angle of \(120^\circ\) at the centre of the circle with radius 7 cm. Find (i) perimeter of major sector OACB, and (ii) area of the shaded segment, if area of \(\Delta OAB = 21.2\text{ cm}^2\).
In the given figure, chord AB subtends an angle of $120^\circ$ at the centre of the circle with radius 7 cm. Find (i) perimeter of major sector OACB, and (ii) area of the shaded segment, if area of $\Delta OAB = 21.2\text{ cm}^2$.
Find the area of the segment AYB shown in the figure, if the radius of the circle is 21 cm and \(\angle AOB = 120^\circ\). [Use \(\pi = \frac{22}{7}\)]
Find the area of the sector of a circle of radius 42 cm and of central angle \(30^\circ\). Also, find the area of the corresponding major sector. [Use \(\pi = \frac{22}{7}\)]
Area of a segment of a circle of radius 'r' and central angle \(60^\circ\) is :
A brooch is crafted from silver wire in the shape of a circle with a diameter of 35 cm. The wire is also used to create 5 diameters, dividing the circle into 10 equal sectors.

37(i) What is the radius of the circle?
The length of the arc of the sector of a circle with radius 21 cm and of central angle $60^\circ$, is :
The length of the arc of the sector of a circle with radius $21\text{ cm}$ and of central angle $60^\circ$, is :
A chord PQ of a circle of diameter 28 cm subtends an angle of \(90^\circ\) at the centre O. Find the area of the sector OPCQ, where C is a point on minor arc PQ. Also, find the area of segment PCQ.