CBSE Class 10 Mathematics Circles Worksheet Set C

Read and download the CBSE Class 10 Mathematics Circles Worksheet Set C in PDF format. We have provided exhaustive and printable Class 10 Mathematics worksheets for Chapter 10 Circles, designed by expert teachers. These resources align with the 2025-26 syllabus and examination patterns issued by NCERT, CBSE, and KVS, helping students master all important chapter topics.

Chapter-wise Worksheet for Class 10 Mathematics Chapter 10 Circles

Students of Class 10 should use this Mathematics practice paper to check their understanding of Chapter 10 Circles as it includes essential problems and detailed solutions. Regular self-testing with these will help you achieve higher marks in your school tests and final examinations.

Class 10 Mathematics Chapter 10 Circles Worksheet with Answers

 

Circles 

 

Q.- The perimeter of Δpqr in the given figure is 
WT_circles test 1
a. 15 cm
b. 60 cm
c. 45 cm
d. 30 cm. 
 
Ans- d. 30 cm. 
Explanation Since Tangents from an external point to a circle are equal. 
∴PA = PB = 4 cm, 
BR = CR = 5 cm 
CQ = AQ = 6 cm 
Perimeter of PQR = PQ + QR + RP 
= PA + AQ + QC + CR + BR + PB 
= 4 + 6 + 6 + 5 + 5 + 4 = 30 cm
 
Q.-  If PQ = 28 cm, then the perimeter of PLM is 
WT_circles test 2
a. 48 cm
b. 56 cm
c. 42 cm
d. 28 cm
 
Ans- b. 56 cm
Explanation: We know that, PQ = (Perimeter of PLM)
28 =1/2 (Perimeter of ΔPLM)
(Perimeter of ΔPLM) = 28 2 = 56 cm
 
Q.-  In the given figure if QP = 4.5 cm, then the measure of QR is equal to 
WT_circles test 3
a. 15 cm
b. 9 cm
c. 18 cm
d. 13.5 cm
 
Ans-  b. 9 cm 
Explanation: Here QP = PT = 4.5 cm [Tangents to a circle from an external point P] 
Also PT = PR = 4.5 cm [Tangents to a circle from an external point P] 
∴QR = QP + PQ= 4.5 + 4.5 = 9 cm
 
Q.-  In the given figure, if AQ = 4 cm, QR = 7 cm, DS = 3 cm, then x is equal to 
WT_circles test 4
a. 6 cm
b. 10 cm
c. 11 cm
d. 8 cm
 
Ans-  a. 6 cm
Explanation: Here AQ = 4 cm
∴QB = AQ = 4 cm [Tangents from an external point]
∴BR = 7 - 4 = 3 cm
∴BR = CR = 3 cm [Tangents from an external point]
Also SD = SC = 3 cm [Tangents from an external point]
Therefore, x = CS + CR = 3 + 3 = 6 units
 
Q.- How many common tangents can be drawn to two circles touching internally? 
 
Ans- One common tangent can be drawn to two circles touching internally Figure:

WT_circles test 5

 

Q.- How many tangents, parallel to a secant can a circle have? 

Ans-  A circle can have 2 tangents parallel to a secant. Diagram:

WT_circles test 6

Q.- In figure, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA PB, find the length of each tangent. 

WT_circles test 7

Ans-  PA and PB are two tangents drawn from an external point P to a circle.

WT_circles test 8

CA ⊥ AP
CB ⊥ BP
PA ⊥ PB
∴BPAC is a square.

=>AP=PB=BC=4cm

 

Please click the below link to access CBSE Class 10 Mathematics Circles Worksheet Set C

Worksheet for CBSE Mathematics Class 10 Chapter 10 Circles

We hope students liked the above worksheet for Chapter 10 Circles designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 10 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Expert teachers of studiestoday have referred to the NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 worksheet. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers. We have also provided a lot of MCQ questions for Class 10 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter.

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CBSE Class 10 Mathematics Chapter 10 Circles worksheets cover all topics as per the latest syllabus for current academic year.

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