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🧾 CBSE · Class 10

Class 10 Maths: Areas Related to Circles Worksheet (with Answers)

A free, print-ready worksheet on Areas Related to Circles for CBSE Class 10 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 17 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. The area of a circle of radius r is:
    • (a) πd
    • (b) 2πr
    • (c) πr
    • (d) πr²
  2. 2. The circumference of a circle of radius r is:
    • (a) πr²
    • (b) 4πr
    • (c) 2πr
    • (d) πr
  3. 3. The area of a sector with central angle θ is:
    • (a) πr²
    • (b) θ × πr²
    • (c) (θ/360) × 2πr
    • (d) (θ/360) × πr²
  4. 4. The area of a semicircle of radius r is:
    • (a) πr²/4
    • (b) πr²/2
    • (c) 2πr
    • (d) πr²
  5. 5. Write the formula for the area of a sector.
  6. 6. Find the circumference of a circle of radius 21 cm (π = 22/7).
  7. 7. A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding minor segment. (π = 3.14)
View answers
  1. 1. (d) πr² — Area = πr².
  2. 2. (c) 2πr — Circumference = 2πr.
  3. 3. (d) (θ/360) × πr² — Area of sector = (θ/360) × πr².
  4. 4. (b) πr²/2 — Half the circle's area = πr²/2.
  5. 5. (θ/360) × πr², where θ is the central angle.
  6. 6. 2 × (22/7) × 21 = 132 cm.
  7. 7. Area of sector = (90/360) × 3.14 × 100 = 78.5 cm². Area of triangle = ½ × 10 × 10 = 50 cm². Segment = 78.5 − 50 = 28.5 cm².
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FAQ

Is this Class 10 Maths worksheet on Areas Related to Circles free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Areas Related to Circles worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 10 Maths, chapter “Areas Related to Circles”.