CLASS 10 · CHAPTER 11

Areas Related to Circles
Practice Questions

20 curated NCERT & Board Exam questions to test your understanding. Click on "Show Solution & Answer" to check step-by-step working.

20Questions

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Q1MCQ1 Mark

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

Q2MCQ1 Mark

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

Q3MCQ1 Mark

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

Q4MCQ1 Mark

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

Q5Assertion-Reason1 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.

Q6Assertion-Reason1 Mark

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

Q7Short Answer2 Marks

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

Q8Short Answer2 Marks

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

Q9Short Answer2 Marks

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

Q10Short Answer2 Marks

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

Q11Short Answer2 Marks

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

Q12Long Answer3 Marks

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

Q13Long Answer3 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.

Q14Long Answer3 Marks

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

Q15Long Answer3 Marks

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

Q16Case Study4 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.

Q17Case Study4 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.

Q18PYQ5 Marks

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

Q19PYQ5 Marks

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

Q20PYQ5 Marks

Areas Related to Circles Practice Questions