Chapter 11 · Class 10 CBSE · Free Worksheet PDF
Areas Related to Circles Sums for Class 10 — Free CBSE Worksheet PDF with Answers
Download a free printable areas related to circles worksheet for Class 10 CBSE with 30 practice questions covering areas related to circles concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.
Last updated: 5 May 2026
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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.
Sample Areas Related to Circles Sums for Class 10 — Practice Questions
Here are 8 sample areas related to circles sums from this Class 10 CBSE worksheet. Download the full PDF for all 30 questions with answers.
Q1.Which of the following statements correctly defines a 'sector' of a circle?
A.The region enclosed by an arc and its corresponding chord.
B.The region enclosed by two radii and a diameter.
C.The region enclosed by two radii and their corresponding arc.
D.The region enclosed by two chords and an arc.
Difficulty: Easy
Q2.A student calculates the area of a sector with radius 'r' and angle 'θ' as (θ/360°) × πr². Their friend says this formula is only for minor sectors. Is the friend correct?
A.Yes, the formula is only for minor sectors.
B.No, the formula applies to both minor and major sectors.
C.The formula for a major sector is (θ/180°) × πr².
D.The formula for a major sector is πr² - (θ/360°) × πr².
Difficulty: Easy
Q3.Ravi wants to find the length of the arc of a sector with radius 7 cm and angle 90°. He applies the formula: Arc Length = (90/360) × π(7)². What mistake did Ravi make?
A.He used the wrong value for π.
B.He used the formula for the area of a sector instead of arc length.
C.He used the incorrect angle in the formula.
D.He squared the radius when it should be multiplied by 2.
Difficulty: Easy
Q4.What is the area of a quadrant of a circle with a radius of 14 cm? (Use π = 22/7)
A.154 cm²
B.77 cm²
C.308 cm²
D.38.5 cm²
Difficulty: Easy
Q5.The area of a segment of a circle is calculated by subtracting the area of the corresponding __________ from the area of the corresponding __________.
A.triangle, sector
B.sector, triangle
C.chord, arc
D.radius, diameter
Difficulty: Easy
Q6.Consider a major sector of a circle with radius 'r' and minor angle 'θ'. Which of the following is a valid method to find the area of the major sector?
A.Calculate (θ/360°) × πr² and subtract this from the area of the full circle.
B.Calculate ((360° - θ)/360°) × πr².
C.Calculate the area of the minor sector and multiply it by 2.
D.Calculate the area of the full circle and divide it by 2.
Difficulty: Easy
Q7.If the area of a sector of a circle with radius 6 cm is 18π cm², what is the measure of the central angle of the sector?
A.180°
B.90°
C.120°
D.270°
Difficulty: Easy
Q8.A clock's minute hand is 10 cm long. How far does the tip of the minute hand move in 30 minutes? (Use π = 3.14)
A.15.7 cm
B.31.4 cm
C.62.8 cm
D.10 cm
Difficulty: Easy
Answer Key — Sample Questions+
Q1:The region enclosed by two radii and their corresponding arc.
Q2:No, the formula applies to both minor and major sectors.
Q3:He used the formula for the area of a sector instead of arc length.
Q4:154 cm²
Q5:triangle, sector
Q6:Calculate ((360° - θ)/360°) × πr².
Q7:180°
Q8:31.4 cm
Download the full PDF for all 30 answers with step-by-step solutions.
About This Worksheet
| Topic | Areas Related to Circles |
|---|---|
| Board | CBSE |
| Class | 10 |
| Total Questions | 30 (10 Easy + 10 Medium + 10 Hard) |
| Answer Key | Included |
| Price | Free |
Related Worksheets — Class 10 CBSE
Frequently Asked Questions
Where can I download free areas related to circles sums for Class 10?+
You can download a free Areas Related to Circles PDF worksheet for Class 10 CBSE right here on SparkEd. The worksheet includes 30 practice questions (areas related to circles concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many areas related to circles questions are in this Class 10 worksheet?+
This SparkEd worksheet for Areas Related to Circles Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover areas related to circles concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Areas Related to Circles worksheet for Class 10 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this areas related to circles worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 10 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Areas Related to Circles worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include areas related to circles word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for CBSE exams, and our worksheet covers a variety of scenarios to build problem-solving skills.
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