Download free printable Circles Worksheets to practice. With thousands of questions available, you can generate as many Circles Worksheets as you want.

Download Worksheet
Class 10
>
Mathematics
>
Circles Worksheets

1.

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

1.

8 cm

2.5 cm

3.2 cm

4.4 cm

2.

In the given figure, a circle is inscribed in a triangle PQR with PQ = 10 cm, QR = 8 cm and PR = 12 cm. Find the length of RN?

1.

5 cm

2.3 cm

3.2 cm

4.4 cm

3.

In the given figure, two circles with centres A and B touch each other externally at k. The length of PQ is_____

1.

18 cm

2.20 cm

3.27 cm

4.24 cm

4.

In the given figure, PA and PB are two tangents drawn to a circle with centre O and radius r. If OP = 2r, then APB is___

1.

Isosceles

2.Scalene

3.Equilateral

4.None of these

5.

In given figure, ABC is right angled at B. AB = 6 cm, BC = 8 cm. Find the radius r of the circle inscribed.

1.

1.5 cm

2.3 cm

3.2 cm

4.4 cm

6.

In the given, if PA and PB are tangents to the circle with centre O such that , then is equal to ____

1.
2.
3.
4.

7.

In the given figure, AP, AQ and BC are tangents to circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm, then the length of AP is____

1.

15 cm

2.12 cm

3.10 cm

4.7.5 cm

8.

In given figure, a circle touches the side QR of PQR at A and sides PQ and PR on producing at S and T respectively. If PS = 7 cm, find the perimeter of PQR.

1.

12 cm

2.14 cm

3.7 cm

4.21 cm

9.

In the given figure, AB is a chord of the circle and AOC is its diameter such that . If AT is the tangent to the circle at the point A, then is equal to_____

1.
2.
3.
4.

10.

In given figure, O is the centre of a circle of radius 6 cm. At a distance of 10 cm from O, a point P is taken. Two tangents PQ and PR are drawn to the circle from this point. Then area of quadrilateral PQOR is____

1.

24

2.36

3.48

4.12

Worksheets by UrbanPro

A little About Us

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.

Check out our free customized worksheets across school boards, grades, subjects and levels of subject knowledge. You can download, print and share these worksheets with anyone, anywhere, anytime!

Worksheet