Chapter 10 · Class 10 CBSE · Worksheet

Circles Worksheet — Class 10 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Circles

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following statements correctly defines a tangent to a circle?

A.A line that intersects a circle at two points.
B.A line that passes through the center of a circle.
C.A line that touches a circle at exactly one point.
D.A line segment that connects two points on a circle.

Difficulty: Easy

Q2.From a point P lying *inside* a circle, how many tangents can be drawn to the circle?

A.Exactly one
B.Exactly two
C.Infinitely many
D.Zero

Difficulty: Easy

Q3.A tangent PQ at a point P of a circle of radius 5 cm meets a line through the center O at a point Q so that OQ = 12 cm. What is the measure of ∠OPQ?

A.30°
B.60°
C.90°
D.180°

Difficulty: Easy

Q4.A student states that if a line AB is tangent to a circle at point P, and OP is a radius, then ∠OPA must be 60°. What is the error in this statement?

A.The angle should be 45°.
B.The angle should be 180°.
C.The angle should be 90°.
D.There is no error, the statement is correct.

Difficulty: Easy

Q5.Which of the following statements about a tangent to a circle is TRUE?

A.A tangent always passes through the center of the circle.
B.The radius drawn to the point of contact is perpendicular to the tangent.
C.A tangent can intersect the circle at two points.
D.The length of a tangent from an external point is always equal to the radius.

Difficulty: Easy

Q6.From an external point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the center is 25 cm. The radius of the circle is:

A.7 cm
B.10 cm
C.12 cm
D.14 cm

Difficulty: Easy

Q7.Two tangents PA and PB are drawn from an external point P to a circle with center O. Which of the following is the correct reason why PA = PB?

A.All tangents from an external point are always equal by definition.
B.Triangles ΔPAO and ΔPBO are congruent.
C.Angles ∠APO and ∠BPO are equal.
D.Radii OA and OB are equal.

Difficulty: Easy

Q8.Consider a circle with center O and a point A on the circle. A line segment OA is drawn. Another line M touches the circle at point A and extends infinitely in both directions. Which statement is correct?

A.OA is a tangent and M is a secant.
B.OA is a radius and M is a tangent.
C.OA is a diameter and M is a chord.
D.OA is a chord and M is a diameter.

Difficulty: Easy

Answer Key — Sample Questions+
Q1:A line that touches a circle at exactly one point.
Q2:Zero
Q3:90°
Q4:The angle should be 90°.
Q5:The radius drawn to the point of contact is perpendicular to the tangent.
Q6:7 cm
Q7:Triangles ΔPAO and ΔPBO are congruent.
Q8:OA is a radius and M is a tangent.

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicCircles
BoardCBSE
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download a free Circles worksheet for Class 10?+
You can download a free Circles PDF worksheet for Class 10 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.
How many questions are in the Circles worksheet?+
Each SparkEd worksheet for Circles contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.
Does the Circles worksheet include answers?+
Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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