अध्याय 10 · Class 9 UP Board · Free Worksheet PDF

Circles Sums for Class 9 — Free UP Board Worksheet PDF with Answers

Download a free printable circles worksheet for Class 9 UP Board with 30 practice questions covering 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 Circles Sums for Class 9 — Practice Questions

Here are 8 sample circles sums from this Class 9 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.यदि एक वृत्त की त्रिज्या 7 cm है, तो उसका व्यास क्या होगा?
A.7 cm
B.14 cm
C.21 cm
D.3.5 cm

Difficulty: Easy

Q2.एक वृत्त की त्रिज्या 13 cm है और एक जीवा की लंबाई 24 cm है। केंद्र से जीवा की दूरी ज्ञात कीजिए।
A.5 cm
B.10 cm
C.12 cm
D.13 cm

Difficulty: Easy

Q3.केंद्र O वाले वृत्त में, यदि ∠AOB=80∘\angle AOB = 80^\circ है, जहाँ A, B, C वृत्त पर बिंदु हैं, तो ∠ACB\angle ACB का माप क्या होगा?
A.40∘40^\circ
B.80∘80^\circ
C.160∘160^\circ
D.20∘20^\circ

Difficulty: Easy

Q4.एक वृत्त में, यदि एक ही वृत्तखंड में बने दो कोण ∠PQR=35∘\angle PQR = 35^\circ हैं, तो ∠PSR\angle PSR का माप क्या होगा? (P, Q, R, S वृत्त पर बिंदु हैं)
A.35∘35^\circ
B.70∘70^\circ
C.17.5∘17.5^\circ
D.145∘145^\circ

Difficulty: Easy

Q5.ABCD एक चक्रीय चतुर्भुज है जिसमें ∠A=70∘\angle A = 70^\circ है। ∠C\angle C का माप ज्ञात कीजिए।
A.70∘70^\circ
B.110∘110^\circ
C.140∘140^\circ
D.35∘35^\circ

Difficulty: Easy

Q6.यदि AB एक वृत्त का व्यास है और C वृत्त पर कोई बिंदु है, तो ∠ACB\angle ACB का माप क्या होगा?
A.45∘45^\circ
B.90∘90^\circ
C.180∘180^\circ
D.60∘60^\circ

Difficulty: Easy

Q7.केंद्र O वाले एक वृत्त में, यदि दो जीवाएँ AB और CD समान लंबाई की हैं और ∠AOB=60∘\angle AOB = 60^\circ है, तो ∠COD\angle COD का माप क्या होगा?
A.30∘30^\circ
B.60∘60^\circ
C.120∘120^\circ
D.90∘90^\circ

Difficulty: Easy

Q8.केंद्र O वाले एक वृत्त में, दो समान जीवाएँ AB और CD हैं। यदि केंद्र से जीवा AB की दूरी 4 cm है, तो केंद्र से जीवा CD की दूरी क्या होगी?
A.2 cm
B.4 cm
C.6 cm
D.8 cm

Difficulty: Easy

Answer Key — Sample Questions+
Q1:14 cm
Q2:5 cm
Q3:$40^\circ$
Q4:$35^\circ$
Q5:$110^\circ$
Q6:$90^\circ$
Q7:$60^\circ$
Q8:4 cm

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

About This Worksheet

TopicCircles
BoardUP Board
Class9
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

Related Worksheets — Class 9 UP Board

Number Systems

Class 9 UP Board Worksheet

Polynomials

Class 9 UP Board Worksheet

Coordinate Geometry

Class 9 UP Board Worksheet

Linear Equations in Two Variables

Class 9 UP Board Worksheet

Introduction to Euclid's Geometry

Class 9 UP Board Worksheet

Lines & Angles

Class 9 UP Board Worksheet

Frequently Asked Questions

Where can I download free circles sums for Class 9?+
You can download a free Circles PDF worksheet for Class 9 UP Board right here on SparkEd. The worksheet includes 30 practice questions (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 circles questions are in this Class 9 worksheet?+
This SparkEd worksheet for Circles Class 9 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover 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 Circles worksheet for Class 9 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 circles worksheet aligned to UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 9 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 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 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 Circles Sums Online — Class 9 UP Board

Want more than a worksheet? Solve 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.