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Worksheets

Circles

Total questions: 7

Worksheet time: 9mins

Name
Class
Date
1.

The following questions consist of two statements - Assertion(A) and Reason(R) .

Assertion (A) : If two circles intersect at two points , then the line joining their centres is perpendicular to the common chord .

Reason (R) : The perpendicular bisectors of two chords of a circle intersect at its centre .

Answer these questions selecting the appropriate option given below :

a)

Both A and R are true and R is the correct explanation for A

b)

Both A and R are true and R is not the correct explanation for A

c)

A is true but R is false

d)

A is false but R is true

2.

The following questions consist of two statements - Assertion(A) and Reason(R). Answer these questions selecting the appropriate option given below :

Assertion (A) : A circle divides the plane into three parts .

Reason(R) : The perimeter of a circle is called its circumference.

Answer these questions selecting the appropriate option given below:

a)

Both A and R are true and R is the correct explanation for A.

b)

Both A and R are true and R is not the correct explanation for A

c)

A is true but R is false

d)

A is false but R is true

3.

The following questions consist of two statements - Assertion (A) and Reason (R) .

Assertion (A) : In the Fig., O is the centre of the circle . If ∠ACB =50°, then ∠OAB =40°.

Reason (R) : The perpendicular drawn from the centre of the circle to a chord bisects the chord.

Answer these questions selecting the appropriate option given below:

a)

Both A and R are true and R is the correct explanation for A.

b)

Both A and R are true and R is not the correct explanation for A.

c)

A is true but R is false.

d)

A is false but R is true.

4.

In Fig., PQRS is a cyclic quadrilateral , find measure of each of its angles

a)

∠P = 150° , ∠Q = 45° , ∠R = 30°, ∠S = 135°

b)

∠P= 45° , ∠Q = 150° ,∠ R = 135°, ∠S = 30°

c)

∠P = 135° , ∠Q= 45° , ∠R = 30° , ∠S = 150°

d)

∠P = 30°, ∠Q = 135°, ∠R = 150°, ∠S = 45°

5.

In Fig., AOB is a diameter of the circle and C,D,E are any three points on the semi- circle . Find the value of ∠ACD +∠BED

a)

30°

b)

270°

c)

180°

d)

110°

6.

In the fig., O is the centre of the circle of radius 5cm. OP⊥AB,OQ⊥CD,AB||CD,AB=6cm and CD=8cm . Determine the length of PQ.

a)

1 cm

b)

2 cm

c)

5 cm

d)

8 cm

7.

In Fig., O is the centre of the circle , ∠BCO = 30° , find x and y.

a)

x= 15° , y = 30°

b)

x=30°, y=15°

c)

x=45°, y=15°

d)

x=15°, y = 45°