# Free CBSE Class 10 Mathematics UNIT IV: Geometry Circles Worksheets

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## Sample CBSE Class 10 Mathematics UNIT IV: Geometry Circles Worksheet Questions

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 $\fn_cm&space;\angle&space;APB&space;=&space;50^{\circ}$, then $\fn_cm&space;\angle&space;OAB$ is equal to ____

1.

$\fn_cm&space;10^{\circ}$

2.

$\fn_cm&space;25^{\circ}$

3.

$\fn_cm&space;50^{\circ}$

4.

$\fn_cm&space;40^{\circ}$

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 $\fn_cm&space;\angle&space;ACB&space;=&space;40^{\circ}$. If AT is the tangent to the circle at the point A, then $\fn_cm&space;\angle&space;BAT$  is equal to_____

1.

$\fn_cm&space;40^{\circ}$

2.

$\fn_cm&space;50^{\circ}$

3.

$\fn_cm&space;60^{\circ}$

4.

$\fn_cm&space;30^{\circ}$

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 $\fn_cm&space;cm^{2}$

2.

36 $\fn_cm&space;cm^{2}$

3.

48 $\fn_cm&space;cm^{2}$

4.

12$\fn_cm&space;cm^{2}$

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