Free Printable CIRCLE 10

1.

In two concentric circles, a chord of length 24 cm of larger circle becomes a tangent to the smaller circle whose radius is 5 cm . Find the radius

a)

12 cm

b)

18 cm

c)

13 cm

d)

25 cm

2.

The length of the tangent drawn from a point 8 cm away from the centre of a circle of radius 6 cm

a)

\sqrt{7}

cm

b)

2 $\sqrt{7}$ cm

c)

10 cm

d)

5 cm

3.

If PA and PB are tangents to the circle with centre O such that

\angle APB=50\degree

, then

\angle OAB

is equal

a)

$25\degree$

b)

$30\degree$

c)

$40\degree$

d)

$50\degree$

4.

In a right triangle ABC, right angled at B, BC=12 cm and AB= 5 cm. The radius of the circle inscribed in the triangle is

a)

4

b)

3

c)

2

d)

1

5.

The sides AB,BC and CA of triangle ABC, touch a circle at P,Q and R respectively. IF PA= 4 cm, BP= 3 cm and AC=11 cm , then length of BC is

a)

11 cm

b)

10 cm

c)

14 cm

d)

15 cm

6.

Quadrilateral ABCD is circumscribed to a circle. IF AB= 6 cm, BC=7 cm and CD=4 cm , Then AD=

a)

6 cm

b)

7 cm

c)

4 cm

d)

3 cm

7.

AB is a diameter of a circle and AC is its chord such that $\angle BAC=\ 30\degree$ .If the tangent at C intersects AB extended at D, then BC=________

a)

BD

b)

AC

c)

DC

d)

AB

8.

The parallelogram circumscribing a circle is a _____________

a)

rectangle

b)

Rhombus

c)

square

d)

Kite

9.

If PA and PB are two tangents drawn from an external point P to a circle such that PA=5 cm and $\angle APB=60\degree$ , then the length of the chord AB is __________

a)

6 cm

b)

5 cm

c)

10 cm

d)

12 cm

10.

PQ and PR are tangents drawn from P to a circle with centre
O. If $\angle OPQ$ =35 $\degree$ , $\angle POQ=b$ , $\angle RPO=a$ then find a and b

a)

a=30, b=60

b)

a=35, b=55

c)

a=40, b=50

d)

a=45, b=45

CIRCLE 10

Total questions: 10

Worksheet time: 20mins

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