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CBSE - Class 10 > Mathematics > Circles Worksheets

Free CBSE - Class 10 Mathematics - Circles worksheets

Sample Worksheets

Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

1.

Choose the correct option and give justification. From a point $Q$, the length of the tangent to a circle is $24$ cm and the distance of $Q$ from the centre is $25$ cm. The radius of the circle is

1.

7 cm

 2.

12 cm

 3.

15 cm

 4.

24.5 cm
2.

Choose the correct option and give justification. In Fig. 10.11, if $TP$ and $TQ$ are the two tangents to a circle with centre $O$ so that $\angle POQ = 110^{\circ}$, then $\angle PTQ$ is equal to

1.

$60^{\circ}$

 2.

$70^{\circ}$

 3.

$80^{\circ}$

 4.

$90^{\circ}$
3.

Choose the correct option and give justification. If tangents $PA$ and $PB$ from a point $P$ to a circle with centre $O$ are inclined to each other at angle of $80^{\circ}$, then $\angle POA$ is equal to

1.

$50^{\circ}$

 2.

$60^{\circ}$

 3.

$70^{\circ}$

 4.

$80^{\circ}$
4.
Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.
5.
The length of a tangent from a point $A$ at distance $5$ cm from the centre of the circle is $4$ cm. Find the radius of the circle.
6.
Two concentric circles are of radii $5$ cm and $3$ cm. Find the length of the chord of the larger circle which touches the smaller circle.
7.

A quadrilateral $ABCD$ is drawn to circumscribe a circle (see Fig. 10.12). Prove that $AB + CD = AD + BC$.

8.

In Fig. 10.13, $XY$ and $X'Y'$ are two parallel tangents to a circle with centre $O$ and another tangent $AB$ with point of contact $C$ intersecting $XY$ at $A$ and $X'Y'$ at $B$. Prove that $\angle AOB = 90^{\circ}$.

9.
Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre.
10.
Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
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Chapters in CBSE - Class 10 Mathematics

Pair of linear equations in two variable Worksheet Coordinate geometry Worksheet Arithmetic Progression Worksheet Real numbers Worksheet Polynomials Worksheet Quadratic Equations Worksheet Applications of Trigonometry Worksheet Areas Related to Circles Worksheet Constructions Worksheet Introduction to Trigonometry Worksheet Probability Worksheet Statistics Worksheet Surface Areas and Volumes Worksheet Triangles Worksheet

Free Circles Worksheets

Our worksheets are designed to help students explore various topics, practice skills and enrich their subject knowledge, to improve their academic performance. Designed by experts who have extensive experience and expertise in teaching a subject, these worksheets will improve your child's problem-solving skills and subject knowledge in a fun and interactive manner.

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Top Tutors who teach CBSE - Class 10 Mathematics Circles

Akshay Aggarwal Circles in Delhi

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Akshay Aggarwal
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Deepashree Circles in Bangalore

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Deepashree
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locationImg Basaveshwara Nagar, Bangalore
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Deepthi

I am a Malayali in Bangalore, trying to learn Kannada to understand the people and state better. Deepa is extremely patient and encouraging. Deepa's sessions are extremely helpful. She has devised simple, but effective techniques that make learning a new language interesting and enjoyable.

Skills: English , Mathematics and more
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Dr nandhini J v r
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locationImg T Nagar, Chennai
10 yrs of Exp students 40 students
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Dentist with tutoring experience of 10 years for Class 6-12 CBSE and State board students
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Jeevan Antony

She tells me indepth concepts of biology for neet UG that's very much useful for those who are cracking it very much recommended.

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Rahul Verma Circles in Delhi

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Rahul Verma
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8 yrs of Exp students 64 students
3777 hrs of classes completed
rsIcon 350 per hour
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Aaradhya Neogi

Rahul sir has an outstanding knowledge of computer html/javascript...He became my saviour during my school exams and helped me to prepare and cover my syllabus in a very short span of time...His guidance helped me to score full marks in my computer exams..thank you for all your guidance and support sir.

Skills: Information and Comunication Technology , Computer Practices and more
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