CBSE Class 10 Mathematics Circles Worksheet Set D

Access the latest CBSE Class 10 Mathematics Circles Worksheet Set D. We have provided free printable Class 10 Mathematics worksheets in PDF format, specifically designed for Chapter 10 Circles. These practice sets are prepared by expert teachers following the 2025-26 syllabus and exam patterns issued by CBSE, NCERT, and KVS.

Chapter 10 Circles Mathematics Practice Worksheet for Class 10

Students should use these Class 10 Mathematics chapter-wise worksheets for daily practice to improve their conceptual understanding. This detailed test papers include important questions and solutions for Chapter 10 Circles, to help you prepare for school tests and final examination. Regular practice of these Class 10 Mathematics questions will help improve your problem-solving speed and exam accuracy for the 2026 session.

Download Class 10 Mathematics Chapter 10 Circles Worksheet PDF

 

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

Chapter 10 Circles CBSE Class 10 Mathematics Worksheet

Students can use the Chapter 10 Circles practice sheet provided above to prepare for their upcoming school tests. This solved questions and answers follow the latest CBSE syllabus for Class 10 Mathematics. You can easily download the PDF format and solve these questions every day to improve your marks. Our expert teachers have made these from the most important topics that are always asked in your exams to help you get more marks in exams.

NCERT Based Questions and Solutions for Chapter 10 Circles

Our expert team has used the official NCERT book for Class 10 Mathematics to create this practice material for students. After solving the questions our teachers have also suggested to study the NCERT solutions  which will help you to understand the best way to solve problems in Mathematics. You can get all this study material for free on studiestoday.com.

Extra Practice for Mathematics

To get the best results in Class 10, students should try the Mathematics MCQ Test for this chapter. We have also provided printable assignments for Class 10 Mathematics on our website. Regular practice will help you feel more confident and get higher marks in CBSE examinations.

Where can I download latest CBSE Practice worksheets for Class 10 Mathematics Chapter 10 Circles

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