Areas Related to Circles

CBSE Class 10 · Mathematics · 30 past questions

These are the board's own papers. 94 more board questions reprinted in the books we use in class are for signed-in students: sign in.

Q1 2026

An arc of length 2.2 cm subtends an angle $\theta$ at the centre of the circle with radius 2.8 cm. The value…
Q2 2026

A circle of diameter 20 cm is equally divided into five sectors. Find the area and perimeter of one of the…
Q3 2026

A circle is divided into 16 identical sectors. If radius of the circle is 7 cm, area of each sector is
Q4 2026

Arc PQ subtends an angle $\theta$ at the centre of the circle with radius 6.3 cm. If $\widehat{PQ} = 11$ cm…
Q5 2026 (Basic)

Chord AB subtends an angle of $40^\circ$ at the centre of the circle of radius 9 cm. The length of arc AB is…
Q6 Sample paper 2026-27

The diameter of a car wheel is 21 cm. The number of complete revolutions it will make in moving 66 km is…
Q7 Sample paper 2026-27

The arc of a circle is of length $6\pi$ cm and the sector it bound has an area of $24\pi$ cm². The radius of…
Q8 Sample paper 2026-27

Find the area of a sector of a circle with diameter 28 cm, If the length of the corresponding arc is 22 cm.
Q9 2025

If a large circular pizza is divided into 5 equal sectors, then the central angle of each sector will be…
Q10 2025

In the given figure, the shape of the top of a table is that of a sector of a circle with centre O and… (with a figure)
Q11 2025

The length of the hour hand of a clock is 10 cm. Find the area of the minor sector swept by the hour hand of…
Q12 2025

If the area of a sector of circle of radius 36 cm is $54\pi$ cm$^2$, then the length of the corresponding arc…
Q13 2025

A chord of a circle of radius 10 cm subtends a right angle at the centre of the circle. Find the area of the…
Q14 2025

If a sector of a circle has an area of $40\pi$ sq. units and a central angle of $72^\circ$, the radius of the…
Q15 2025

A piece of wire 20 cm long is bent into the form of an arc of a circle of radius $\frac{60}{\pi}$ cm. The…
Q16 2025

A brooch is a decorative piece often worn on clothing like jackets, blouses or dresses to add elegance. Made… (with a figure)
Q17 2025 (Basic)

The perimeter of the shaded region in the given figure is… (with a figure)
Q18 2025 (Basic)

The ratio of the area of a quadrant of a circle to the area of the same circle is…
Q19 2025 (Basic)

A chord of a circle of diameter 20 cm subtends an angle of 60° at the centre of the circle. Find the area of…
Q20 2024

Perimeter of a sector of a circle whose central angle is 90° and radius 7 cm is…
Q21 2024

The perimeter of a certain sector of a circle of radius 5.6 m is 20.0 m. Find the area of the sector.
Q22 2024

An arc of a circle of radius 21 cm subtends an angle of 60° at the centre. Find…
Q23 2024 (Basic)

A chord of a circle of radius 14 cm subtends an angle of 90° at the centre. Find the area of the…
Q24 2023

What is the length of the arc of the sector of a circle with radius 14 cm and of central angle $90^\circ$ ?
Q25 2023

The hour-hand of a clock is 6 cm long. The angle swept by it between 7:20 a.m. and 7:55 a.m. is…
Q26 2023

A car has two wipers which do not overlap. Each wiper has a blade of length 21 cm sweeping through an angle…
Q27 2023

What is the area of a semi-circle of diameter 'd' ?
Q28 2023

Governing council of a local public development authority of Dehradun decided to build an adventurous… (with a figure)
Q29 2023

A chord of a circle of radius 14 cm subtends an angle of $60^\circ$ at the centre. Find the area of the…
Q30 2023 (Basic)

Interschool Rangoli Competition was organized by one of the reputed schools of Odissa. The theme of the… (with a figure)