अध्याय 11 · Class 10 UP Board · Free Worksheet PDF

Areas Related to Circles Sums for Class 10 — Free UP Board Worksheet PDF with Answers

Download a free printable areas related to circles worksheet for Class 10 UP Board with 30 practice questions covering areas related to circles concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. UP Board-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

Download Full PDF Worksheet

30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

Download Full PDF

Sample Areas Related to Circles Sums for Class 10 — Practice Questions

Here are 8 sample areas related to circles sums from this Class 10 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.यदि एक वृत्त की परिधि 44 cm है, तो उसका क्षेत्रफल क्या होगा?
A.154 cm2^2
B.77 cm2^2
C.308 cm2^2
D.44 cm2^2

Difficulty: Easy

Q2.एक वृत्त की त्रिज्या 7 cm है और केंद्र पर 60∘60^\circ का कोण बनाने वाले त्रिज्यखंड का क्षेत्रफल ज्ञात कीजिए।
A.77/3 cm2^2
B.154/3 cm2^2
C.22 cm2^2
D.44 cm2^2

Difficulty: Easy

Q3.21 cm त्रिज्या वाले एक वृत्त के चाप की लंबाई ज्ञात कीजिए जो केंद्र पर 60∘60^\circ का कोण बनाता है।
A.11 cm
B.22 cm
C.33 cm
D.44 cm

Difficulty: Easy

Q4.एक वृत्त के चतुर्थांश का क्षेत्रफल ज्ञात कीजिए जिसकी परिधि 22 cm है।
A.77/8 cm2^2
B.77/4 cm2^2
C.77/2 cm2^2
D.77 cm2^2

Difficulty: Easy

Q5.14 cm त्रिज्या वाले एक वृत्त की जीवा केंद्र पर 90∘90^\circ का कोण अंतरित करती है। संगत वृत्तखंड का क्षेत्रफल ज्ञात कीजिए।
A.56 cm2^2
B.14 cm2^2
C.126 cm2^2
D.28 cm2^2

Difficulty: Easy

Q6.14 cm भुजा वाले एक वर्ग के अंदर एक सबसे बड़ा वृत्त बनाया गया है। वृत्त का क्षेत्रफल ज्ञात कीजिए।
A.154 cm2^2
B.77 cm2^2
C.49π\pi cm2^2
D.196 cm2^2

Difficulty: Easy

Q7.दो संकेंद्रित वृत्तों की त्रिज्याएँ 4 cm और 3 cm हैं। उनके बीच के वलय (रिंग) का क्षेत्रफल क्या होगा?
A.7π\pi cm2^2
B.5π\pi cm2^2
C.12π\pi cm2^2
D.25π\pi cm2^2

Difficulty: Easy

Q8.यदि दो वृत्तों की त्रिज्याओं का अनुपात 2:32:3 है, तो उनके क्षेत्रफलों का अनुपात क्या होगा?
A.2:3
B.4:9
C.3:2
D.9:4

Difficulty: Easy

Answer Key — Sample Questions+
Q1:154 cm$^2$
Q2:77/3 cm$^2$
Q3:22 cm
Q4:77/8 cm$^2$
Q5:56 cm$^2$
Q6:154 cm$^2$
Q7:7$\pi$ cm$^2$
Q8:4:9

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicAreas Related to Circles
BoardUP Board
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

Related Worksheets — Class 10 UP Board

Real Numbers

Class 10 UP Board Worksheet

Polynomials

Class 10 UP Board Worksheet

Pair of Linear Equations in Two Variables

Class 10 UP Board Worksheet

Quadratic Equations

Class 10 UP Board Worksheet

Arithmetic Progressions

Class 10 UP Board Worksheet

Triangles

Class 10 UP Board Worksheet

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 UP Board 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 UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 10 UP Board students and aligned to the 2025-26 UP Board syllabus. All questions follow the UP Board 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 UP Board exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

Practice Areas Related to Circles Sums Online — Class 10 UP Board

Want more than a worksheet? Solve areas related to circles problems interactively with instant feedback, step-by-step solutions, and an AI maths coach. No signup required.

Start Practising Online

SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.