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Worksheets

Circle Class 10std ™

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

In figure, AB and AC are tangents to a circle with Centre O and radius 8 cm. If OA=17cm, then the length of AC is

a)

√353cm

b)

15cm

c)

9cm

d)

25cm

2.

In the given figure, find <QSR

a)

45°

b)

60°

c)

40°

d)

65°

3.

In the given figure, O is the centre of the circle, PQ is a chord and PT is tangent to the circle at P. If<POQ = 70° find<TPQ

a)

55°

b)

45°

c)

35°

d)

110°

4.

In figure,AB is a chord of length 8 cm of a circle of radius 5 cm. The tangents to the circle at A and B intersect at P. Find the length of AP

a)

25/3cm

b)

20/3cm

c)

40/3cm

d)

3cm

5.

In fig. PQ and PR are tangents drawn from P to a circle with Centre O. If<OPQ = 35° then

a)

a=35°, b=60°

b)

a=35°, b=55°

c)

a=45°, b= 55°

d)

a=45°, b=45°

6.

In Fig, a circle touches the side DF of AEDT at Hand touches ED and EF produced at Kand M respectively. If EK=9 cm, then the perimeter of ∆EDF is

a)

18cm

b)

13.5cm

c)

12cm

d)

9cm

7.

If TP and TQ are two tangents to a circle with centre O so that <POQ = 110', then, <PTQ is equal to

a)

60°

b)

70°

c)

80°

d)

90°

8.

AB is a chord of length 24cm of a circle of radius 13cm. The tangents at A and B intersect at a point C. Find the length of AC

a)

31cm

b)

31.1cm

c)

31.2 cm

d)

31.3cm

9.

The tangent at a point A of a circle with centre O intersects the diameter PQ of the circle (when extended) at the point B. If <BAQ = 105°, find <APQ.

a)

45°

b)

55°

c)

65°

d)

75°

10.

If in the given figure, find 'x' if <EBD=146°

a)

146°

b)

60°

c)

34°

d)

44°

11.

In the following figure, QS is the diameter and O is the centre of circle. APT is the tangent at P. Find <APQ.

a)

30°

b)

45°

c)

60°

d)

90°

12.

In the given figure, TBP and TCQ are tangents to the circle whose center is O. Also <PBA = 60° and <ACQ 70°. Then <BAC and <BTC respectively are

(a)  

13.

In the given figure, PAQ is a tangent to the circle at point A with centre O. If <ACB=60°, then find <BAQ.

a)

55°

b)

60°

c)

45°

d)

50°

14.

In figure, O is the centre of a circle, AB is a chord and AT is the tangent at A. If <AOB = 100°, then <BAT is equal to

a)

100°

b)

40°

c)

50°

d)

90°

15.

In the given figure, PT is tangent to the circle at T.

If PA = 4 cm and AB = 5 cm, find PT.

a)

5cm

b)

6cm

c)

3cm

d)

9cm