CBSE Class 10 Mathematics Circles Worksheet Set D

Read and download free pdf of CBSE Class 10 Mathematics Circles Worksheet Set D. Students and teachers of Class 10 Mathematics can get free printable Worksheets for Class 10 Mathematics Chapter 10 Circles in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 10 students should practice questions and answers given here for Mathematics in Class 10 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 10 Mathematics Worksheets prepared by teachers as per the latest Mathematics books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests

Worksheet for Class 10 Mathematics Chapter 10 Circles

Class 10 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 10 Circles in Class 10. This test paper with questions and answers for Class 10 will be very useful for exams and help you to score good marks

Class 10 Mathematics Worksheet for Chapter 10 Circles

 

Circles

Q.- If O is the centre of a circle, PQ is a chord and tangent PR at P makes an angle of with PQ, then POQ is equal to 
WT_circles test 9
a. 110°
b. 120°
c. 100°
d. 90°
 
Ans- b. 120°
Explanation: Here RPO = 90°
∠RPQ = 60° (given)
∴ ∠OPQ = 90° - 60° = 30° PQO = 30° Also [Opposite angles of equal radii] Now,
In triangle OPQ,
∠OPQ +∠ PQO + ∠QOP =180°
=> 30° + 30° + QOP = 180°
=> ∠QOP = 120°
 
Q.- In the given figure, if OQ = 3 cm, OP = 5 m, then the length of PR is 
WT_circles test 10
a. 4 cm
b. 3 cm
c. 5 cm
d. 6 cm
 
Ans- a. 4 cm
Explanation: Here Q = 90° [Angle between tangent and radius through the point of contact]
Now, in right angled triangle OPQ,
OP2 = OQ2 + PQ2
(5)2 = (3)2 + PQ2
PQ2 = 25 - 9 = 16
PQ = 4 cm
But PQ = PR [Tangents from one point to a circle are equal]
Therefore, PR = 4 cm
 
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, then the length of each tangent is: 
WT_circles test 11
a. 5 cm
b. 3 cm
c. 4 cm
d. 8 cm
 
Ans- c. 4 cm
WT_circles test 12
Explanation:
Construction: Joined AC and BC. Here CA⊥AP and CB ⊥ BP and PA ⊥ PB Also
AP = PB
Therefore, BPAC is a square. AP = PB = BC = 4 cm
 
Q.- The length of tangent PQ, from an external point Q is 24 cm. If the distance of the point Q from the centre is 25 cm, then the diameter of the circle is 
WT_circles test 14
a. 15 cm
b. 14 cm
c. 12 cm
d. 7 cm
 
Ans- 5. b. 14 cm
WT_circles test 13
Explanation:
Here ∠ OPQ = 90o [Angle between tangent and radius through the point of contact]
OQ2 = OP2 + PQ2 (25)2 = OP2 + (24)2
OP2 = 625 - 576 OP2 = 49
OP2 = 49 OP = 7 cm
Therefore, the diameter = 2 OP = 2 7 = 14 cm
 
Q.- What term will you use for a line which intersect a circle at two distinct points? 

Ans-  A line that interests a circle at two points in a circle is called a Secant.

Q.-In the fig. there are two concentric circles with centre O. PRT and PQS are tangents to the inner circle from a point P lying on the outer circle. If PR = 5 cm find the length of PS. (1)
Ans- PQ = PR = 5 cm ( Length of Tangents from same external point are always equal) and PQ = QS (perpendicular from center of the circle to the chord bisects the chord)
 PS = 2PQ
= 2×5 =10cm
 
Q.-  Find the distance between two parallel tangents of a circle of radius 3 cm.
WT_circles test 15
Ans-  Distance between two parallel tangents = diameter = PQ
PQ = OP + OQ = 3 + 3 = 6cm
The total distance between two parallel tangents lines is 6 cm.

 

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

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.

How can I use worksheets to improve my Class 10 Mathematics scores?

Regular practice with Class 10 Mathematics worksheets can help you understand all concepts better, you can identify weak areas, and improve your speed and accuracy.