Qn 1.

AB&CD are two chords in a circle with equal distance from the centre.If AB=4 cm, What is the value of CD?

Qn 2.

AB&CD are two chords in a circle with equal distance from the centre.If AB=4 cm, What is the value of CD?

Qn 3.

In the figure M is the centre of the circle . AB and CD are parallel chords. The diameter of the circle is 30 c:m ,AB =18 c:m ,CD= 24 c:m

1. Find the distance from the centre to AB

2. Find the distance between AB and CD

3. If AB and CD are on the same side of the centre, then what is the distance between them ?

 

Qn 4.

In the figure M is the centre of the circle AB and CD are two chords .If MQ┴ CD

AB =24 cm and MP= 9 cm

1. Find the radius of the circle ?

2. If MQ=12 cm ,find the length of CQ ?

3. What is the length of the chord CD?

Qn 5.

 

 

 

 

 

In the figure C is the centre of the circle and CP is perpendicular to the chord AB

 CP=5 c:m and AB=24 c:m .Then find

1. The length of AP.

2. The radius of the circle

Qn 6.

In the figure AB is diameter and AC is a chord.If AB=70cm and AC=56 cm

1.What is the radius of the circle?

2.Find the distance between the centre and the chord AC?

Qn 7.

Draw a circle of radius 4cm .Draw an equilateral triangle with vertices on the circle?.measure the sides of the triangle?

Qn 8.

1.Draw ∆ABC with AB=6cm,and ∟A=45° ∟B=45° and draw its circumcircle?

2. Measure its circum radius?

Qn 9.

 

 

 

 

 

 

 

In the figure O is the centre of the circle. AB is perpendicular to CD.

PA = 7 cm. , PB = 3 cm.

(a) What is the radius of the circle ?

(b) Find the length of PC.

(c)Find the length of CD.

Qn 10.

 

 

 

 

 

 

 

 

In the figure O is the centre of the circle. ∠AOB = , AB = 10 cm.

 

(a) What is the radius of the circle ?

(b) Find the length of the chord at a distance 7 cm. from the centre

Qn 11.

In the figure AB is the diameter of the circle. ∠CAB = ∠DAB

(a) What is the measure of ∠ACB ?

(b) If AC = AD prove that BC = BD .

Qn 12.

Qn 13.

In Figure A is the centre and AD is the perpendicular drawn from centre to chord BC.

a)Which are the equal sides of triangle ABC?

b)  In any circle, prove that the line joining the centre and midpoint of a chord is perpendicular to that chord.