Areas Related to Circles

CBSE Class 10 Mathematics · every board question from this chapter, 2022–2026

• A circle is divided into 16 identical sectors. If radius of the circle is 7 cm, area of each sector is2026
• Shown in the given figure is a circle with centre O. The area of the minor sector is 7 cm^2. Area of circle is:2026
• In the given figure, O is the centre of circle. XYZ is an arc of the circle subtending an angle of 45° at the centre. If the…2026
• The length of the arc of the sector of a circle with radius 21 cm and of central angle 60°, is:2026
• Area of sector of a circle with radius 18 cm is 198 cm^2. The measure of central angle is2026
• The area of a semicircle of diameter 'd' is:2026
• The area of a sector of a circle of radius 10 cm is 55/3 cm^2. The value of central angle is2026
• In the given figure, chord AB subtends an angle of 120° at the centre of the circle with radius 7 cm. Find (i) perimeter of major…2026
• Find the area of the segment AYB shown in the figure, if the radius of the circle is 21 cm and ∠ AOB=120^°. [Use π=22/7 ]2026
• Find the area of the sector of a circle of radius 42 cm and of central angle 30^°. Also, find the area of the corresponding major…2026
• A chord of a circle, of radius 14 cm, subtends an angle of 60° at the centre. Find the area of the smaller sector and perimeter…2026
• 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…2026
• 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…2026
• The diameter of a wheel is 63 cm. The distance travelled by the wheel in 100 revolutions is:2025
• If an arc of a circle of diameter 10 cm subtends an angle of 144° at the centre of the circle, then the length of the arc is:2025
• An arc of a circle is of length 5 π cm and the sector it bounds has an area of 20 π cm^2. Its radius is:2025
• If a large circular pizza is divided into 5 equal sectors, then the central angle of each sector will be:2025
• If the area of a sector of circle of radius 36 cm is 54 π cm^2, then the length of the corresponding arc of the sector is:2025
• If a sector of a circle has an area of 40 π sq. units and a central angle of 72°, the radius of the circle is:2025
• A piece of wire 20 cm long is bent into the form of an arc of a circle of radius 60/(π) cm. The angle subtended by the arc at the…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 ∠ AOB=90^°. If AO=OB=42…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 the clock between 5…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 corresponding minor…2025
• Anurag purchased a farmhouse which is in the form of a semicircle of diameter 70 m. He divides it into three parts by taking a…2025
• The Olympic symbol comprising five interlocking rings represents the union of the five continents of the world and the meeting of…2025
• A farmer has a circular piece of land. He wishes to construct his house in the form of largest possible square within the land as…2025
• A brooch is a decorative piece often worn on clothing like jackets, blouses or dresses to add elegance. Made from precious metals…2025
• If in the given figure, ∠ C=∠ D=90^°, ∠ B=60^° and AP=3 cm, then the area of the shaded region is:2024
• If an arc subtends an angle of 90° at the centre of a circle, then the ratio of its length to the circumference of the circle is:2024
• If the area of a sector of a circle is 7/20 of the area of the circle, then the angle at the centre is equal to2024
• The area of the sector of a circle of radius 12 cm is 60 π cm^2. The central angle of this sector is:2024
• The perimeter of the sector of a circle of radius 21 cm which subtends an angle of 60° at the centre of circle, is:2024
• The length of an arc of a circle with radius 12 cm is 10 π cm. The angle subtended by the arc at the centre of the circle, is:2024
• Perimeter of a sector of a circle whose central angle is 90° and radius 7 cm is:2024
• Assertion: If the circumference of a circle is 176 cm, then its radius is 28 cm. Reason (R): Circumference =2 π × radius of a…2024
• The minute hand of a clock is 14 cm long. Find the area on the face of the clock described by the minute hand in 5 minutes. OR…2024
• In the given figure, a circle centred at origin O has radius 7 cm, OC is median of Δ OAB. Find the length of median OC.2024
• A sector is cut from a circle of radius 21 cm. The central angle of the sector is 150°. Find the length of the arc of this sector…2024
• An arc of a circle of radius 10 cm subtends a right angle at the centre of the circle. Find the area of the corresponding major…2024
• An arc of a circle of radius 21 cm subtends an angle of 60° at the centre. Find: (i) the length of the arc. (ii) the area of the…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.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.2024
• In the given figure, diameters AC and BD of the circle intersect at O. If ∠ AOB=60^° and OA=10 cm, then: (i) find the length of…2024
• A stable owner has four horses. He usually tie these horses with 7 m long rope to pegs at each corner of a square shaped grass…2024
• What is the length of the arc of the sector of a circle with radius 14 cm and of central angle 90°?2023
• The circumferences of two circles are in the ratio 4: 5. What is the ratio of their radii?2023
• What is the area of a semi-circle of diameter 'd'?2023
• In the given figure, AB and CD are diameters of a circle with centre O perpendicular to each other. If OA=7 cm, find the area of…2023
• A chord of a circle of radius 14 cm subtends an angle of 60° at the centre. Find the area of the corresponding minor segment of…2023
• Reeti prepares a Rakhi for her brother Ronit. The Rakhi consists of a rectangle of length 8 cm and breadth 6 cm inscribed in a…2023
• In a circle of radius 21 cm, an arc subtends an angle of 60^° at the centre. Find the area of the sector formed by the arc. Also,…2023
• A chord of a circle of radius 14 cm subtends an angle of 60° at the centre. Find the area of the corresponding minor segment of…2023
• A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope. Find the area of…2023
• In an annual day function of a school, the organizers wanted to give a cash prize along with a memento to their best students.…2023
• In Fig. 1, there are two concentric circles with centre O. If ARC and AQB are tangents to the smaller circle from the point A…2022
• John planned a birthday party for his younger sister with his friends. They decided to make some birthday caps by themselves and…2022

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