CBSE Class 10 Mathematics Circles Worksheet Set 04

Practice Worksheets for Class 10 Mathematics: Chapter 10 Circles

Review targeted practice sets for Class 10 Mathematics Chapter 10 Circles. Built according to official educational guidelines for the 2026-27 academic year, these downloadable worksheets support daily revision and core concept reinforcement.

Practice Chapter 10 Circles Worksheets for Class 10 Mathematics

Access the complete worksheet PDF for Chapter 10 Circles below. Regular practice with these targeted questions builds familiarity with standard exam patterns and helps secure higher marks in final Mathematics evaluations.

Q.- Prove that the paralleogram circumscribing a circle, is a rhombus.
 
Sol.
Circles notes 7
Given : A parallelogram ABCD
circumsribes a circle with centre O.
To prove : AB = BC = CD = AD
Proof : we know that the lengths of tangents drawn from an exterior point to a circle are equal.
∴ AP = AS .... (i) [tangents from A]
   BP = BQ .... (ii) [tangents from B]
   CR = CQ .... (iii) [tangents from C]
   DR = DS .... (iv) [tangents from D]
∴ AB + CD = AP + BP + CR + DR
= AS + BQ + CQ + DS
[From (i), (ii), (iii), (iv)]
= (AS + DS) + (BQ + CQ)
= AD + BC
Hence, (AB + CD) = (AD + BC)
=> 2AB = 2AD
[opposite sides of a parallelogram are equal]
=> AB = AD
∴ CD = AB = AD = BC
Hence, ABCD is a rhombus
 
Q.- ABC is a right triangle, right angled at B. A circle is inscribed in it. The lengths of the two sides containing the right angle are 6 cm and 8 cm. Find the radius of the incircle.
 
Sol.
Circles notes 8
Let the radius of the in circle be x cm.
Let the in circle touch the side AB, BC and CA at D, E, F respectively. Let O be the centre of the circle.
Then, OD = OE = OF = x cm.
Also, AB = 8 cm and BC = 6 cm.
Since the tangents to a circle from an external point are equal, we have
AF = AD = (8 – x) cm, and
CF = CE = (6 – x) cm.
∴AC = AF + CF = (8 – x) cm + (6 – x) cm
= (14 – 2x) cm.
Now , AC2 = AB2 + BC2
=> (14 – 2x)2 = 82 + 62 = 100 = (10)2
=> 14 – 2x = ±10
=> x = 2 or x = 12
=> x = 2 [neglecting x = 12].
Hence, the radius of the in circle is 2cm.
 
 
 

CBSE Class 10 Mathematics Circles Worksheet Set D 1

CBSE Class 10 Mathematics Circles Worksheet Set D 2

 

Please click on below link to download CBSE Class 10 Mathematics Circles Worksheet Set D

Free study material for Mathematics

Chapter 10 Circles Practice Sheet and Solutions for Class 10 Mathematics

Chapter 10 Circles Printable Worksheet for Class 10 Mathematics

Access structured practice worksheets for Chapter 10 Circles designed in alignment with the latest CBSE curriculum for Class 10 Mathematics. These printable problem sets help students build accuracy and prepare effectively for school tests.

How to Use These Practice Sheets

Built using the official NCERT book for Class 10 Mathematics, these practice materials provide reliable academic guidance. Pair your practice with our recommended NCERT solutions to master optimal problem-solving approaches.

Enhance Speed with Online Practice

Wrap up your chapter revision by testing your knowledge against standard question formats. Everything on our platform is provided free of charge.

FAQs

Where can I download the latest PDF for CBSE Class 10 Mathematics Circles Worksheet Set 04?

You can download the teacher-verified PDF for CBSE Class 10 Mathematics Circles Worksheet Set 04 from StudiesToday.com. These practice sheets for Class 10 Mathematics are designed as per the latest CBSE academic session.

Are these Mathematics Class 10 worksheets based on the 2026-27 competency-based pattern?

Yes, our CBSE Class 10 Mathematics Circles Worksheet Set 04 includes a variety of questions like Case-based studies, Assertion-Reasoning, and MCQs as per the 50% competency-based weightage in the latest curriculum for Class 10.

Do you provide solved answers for CBSE Class 10 Mathematics Circles Worksheet Set 04?

Yes, we have provided detailed solutions for CBSE Class 10 Mathematics Circles Worksheet Set 04 to help Class 10 and follow the official CBSE marking scheme.

How does solving CBSE Class 10 Mathematics Circles Worksheet Set 04 help in exam preparation?

Daily practice with these Mathematics worksheets helps in identifying understanding gaps. It also improves question solving speed and ensures that Class 10 students get more marks in CBSE exams.

Is there any charge for the Class 10 Mathematics practice test papers?

All our Class 10 Mathematics practice test papers and worksheets are available for free download in mobile-friendly PDF format. You can access CBSE Class 10 Mathematics Circles Worksheet Set 04 without any registration.