CBSE BOARD PYQS · CHAPTER 11

Areas Related to Circles
CBSE Most Repeated PYQs

Solve official CBSE Previous Year Board Questions (2015-2024) for Areas Related to Circles. Click on options to test yourself, or click "Show Solution & Answer" for complete step-by-step working.

Q1CBSE 2024, 2020MCQ

1 Mark

Area of sector of angle θ of circle of radius r is:

Q2CBSE 2023, 2019MCQ

1 Mark

If perimeter and area of a circle are numerically equal, then radius of circle is:

Q3CBSE 2022, 2018MCQ

1 Mark

Area of circle that can be inscribed in a square of side 6 cm is:

Q4CBSE 2024, 2021MCQ

1 Mark

Length of arc of sector of angle θ of circle of radius r is:

Q5CBSE 2023, 2017Assertion-Reason

1 Mark

Assertion (A): If radius of circle is doubled, its area becomes 4 times. Reason (R): Area of circle is directly proportional to square of its radius.

Q6CBSE 2020, 2016Assertion-Reason

1 Mark

Assertion (A): Perimeter of semicircle of radius r is (πr + 2r). Reason (R): Perimeter includes arc length πr plus diameter 2r.

Q7CBSE 2024, 2020Short Answer

2 Marks

Find area of sector of circle with radius 6 cm if angle of sector is 60°.

Q8CBSE 2023, 2019Short Answer

2 Marks

Find area of quadrant of circle whose circumference is 22 cm.

Q9CBSE 2022, 2018Short Answer

2 Marks

Minute hand of clock is 14 cm long. Find area swept by minute hand in 5 minutes.

Q10CBSE 2024, 2021Short Answer

2 Marks

Find area of minor segment of circle of radius 14 cm if central angle is 90°.

Q11CBSE 2023, 2017Short Answer

2 Marks

A car has two wipers of length 25 cm sweeping through angle 115°. Find total cleaned area.

Q12CBSE 2020, 2016Long Answer

3 Marks

In circle of radius 21 cm, arc subtends 60° at centre. Find (i) arc length (ii) sector area (iii) segment area.

Q13CBSE 2024, 2020Long Answer

3 Marks

A horse is tied to peg at one corner of square grass field of side 15 m by 5 m long rope. Find increase in area if rope is 10 m.

Q14CBSE 2023, 2019Long Answer

3 Marks

Find area of shaded region where ABCD is square of side 14 cm and APD & BPC are semicircles.

Q15CBSE 2022, 2018Long Answer

3 Marks

Find area of design formed by 4 semicircles inside square of side 14 cm.

Q16CBSE 2024, 2021Case Study

4 Marks

Case Study Scenario: A brooch is made with silver wire in form of circle with diameter 35 mm. Wire also used in making 5 diameters. Question: Find total length of silver wire and area of each sector.

Q17CBSE 2023, 2017Case Study

4 Marks

Case Study Scenario: An umbrella has 8 ribs equally spaced. Assuming umbrella to be flat circle of radius 45 cm. Question: Find area between two consecutive ribs.

Q18CBSE Official Board PYQPYQ

5 Marks

Find area of shaded region where square ABCD of side 14 cm has 4 congruent circles inscribed.

Q19CBSE Official Board PYQPYQ

5 Marks

ABC is quadrant of circle of radius 14 cm and semicircle is drawn with BC as diameter. Find shaded area.

Q20CBSE Official Board PYQPYQ

5 Marks

Areas Related to Circles CBSE Most Repeated PYQs

Area of sector of angle θ of circle of radius r is:

If perimeter and area of a circle are numerically equal, then radius of circle is:

Area of circle that can be inscribed in a square of side 6 cm is:

Length of arc of sector of angle θ of circle of radius r is:

Assertion (A): If radius of circle is doubled, its area becomes 4 times. Reason (R): Area of circle is directly proportional to square of its radius.

Assertion (A): Perimeter of semicircle of radius r is (πr + 2r). Reason (R): Perimeter includes arc length πr plus diameter 2r.

Find area of sector of circle with radius 6 cm if angle of sector is 60°.

Find area of quadrant of circle whose circumference is 22 cm.

Minute hand of clock is 14 cm long. Find area swept by minute hand in 5 minutes.

Find area of minor segment of circle of radius 14 cm if central angle is 90°.

A car has two wipers of length 25 cm sweeping through angle 115°. Find total cleaned area.

In circle of radius 21 cm, arc subtends 60° at centre. Find (i) arc length (ii) sector area (iii) segment area.

A horse is tied to peg at one corner of square grass field of side 15 m by 5 m long rope. Find increase in area if rope is 10 m.

Find area of shaded region where ABCD is square of side 14 cm and APD & BPC are semicircles.

Find area of design formed by 4 semicircles inside square of side 14 cm.

Case Study Scenario: A brooch is made with silver wire in form of circle with diameter 35 mm. Wire also used in making 5 diameters. Question: Find total length of silver wire and area of each sector.

Case Study Scenario: An umbrella has 8 ribs equally spaced. Assuming umbrella to be flat circle of radius 45 cm. Question: Find area between two consecutive ribs.

Find area of shaded region where square ABCD of side 14 cm has 4 congruent circles inscribed.

ABC is quadrant of circle of radius 14 cm and semicircle is drawn with BC as diameter. Find shaded area.

Round table cover has 6 equal designs. Radius of cover is 28 cm. Find cost of designs at ₹0.35 per cm² (√3=1.7).

Areas Related to Circles
CBSE Most Repeated PYQs