Class 10 Mathematics Chapter 11: Areas Related to Circles — practice questions with answers
Free practice for Class 10 Mathematics, Chapter 11: Areas Related to Circles. Try the solved questions below, then take a free test with instant marking and explanations.
54 questions25 easy, 19 medium, 10 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. The region enclosed by two radii and the corresponding arc of a circle is called a ______.
- sector
- segment
- chord
- quadrant only
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Answer: A. sector
Why: A segment is bounded by a chord and an arc. [p.154]
Why: A segment is bounded by a chord and an arc. [p.154]
Q2. The region enclosed between a chord and the corresponding arc is called a ______.
- segment
- sector
- radius
- tangent
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Answer: A. segment
Why: Fig. 11.2: APB is the minor segment. [p.154]
Why: Fig. 11.2: APB is the minor segment. [p.154]
Q3. The area of a sector of angle θ (in degrees) of a circle of radius r is ______.
- (θ/360) × πr²
- (θ/360) × 2πr
- (θ/180) × πr²
- θ × πr²
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Answer: A. (θ/360) × πr²
Why: Unitary method: 360° ↔ πr². [p.155]
Why: Unitary method: 360° ↔ πr². [p.155]
Q4. The length of the arc of a sector of angle θ (in degrees) of a circle of radius r is ______.
- (θ/360) × 2πr
- (θ/360) × πr²
- (θ/180) × πr
- θr
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Answer: A. (θ/360) × 2πr
Why: Whole circle (360°) has length 2πr. [p.155]
Why: Whole circle (360°) has length 2πr. [p.155]
Q5. When we say 'sector' without qualification, we mean the ______ sector.
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Answer: minor
Why: Remark in Section 11.1. [p.154]
Why: Remark in Section 11.1. [p.154]
Q6. Area of a segment = area of the corresponding sector − area of the corresponding triangle.
True or false?
Show answer
Answer: True
Why: Summary point 3. [p.156]
Why: Summary point 3. [p.156]
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Frequently asked questions
How many practice questions are there for Class 10 Mathematics Chapter 11: Areas Related to Circles?
54 questions (25 easy, 19 medium, 10 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 10 Mathematics syllabus, used by CBSE and many state boards.