DISTANCE BETWEEN CHORD AND CENTER OF CIRCLE WORKSHEET

Problem 1 :

Find x in the following giving brief reasons:

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

A circle has a chord of length 8 cm and the shortest distance from the centre of the circle to the chord is 2 cm. Find the radius of the circle.

Solution

Problem 5 :

The shortest distance from the center of a circle to a chord is 2 cm. Find the length of the chord given that the radius has length 5 cm.

Solution

Problem 6 :

AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the center of the circle is

a) 17 cm    b) 15 cm    c) 4 cm     d) 8 cm

Solution

1) The distance of the chord from the center is 3 cm.

2) Length of chord = 2√7 cm

4)  The radius of the circle is 4.5 cm.

5)  chord length is 2√21 cm

6)  The distance of AB from the center of the circle is 8 cm.

Problem 1 :

A circle of 30 cm diameter has a 24 cm chord what is the distance of the chord from the center?

Solution

Problem 2 :

A chord AB of a circle with center O is 10 cm. if the chord is 12 cm away the center, then what is the radius of the circle?

Solution

Problem 3 :

If the diameter AD of a circle is 34 cm and the length of a chord AB is 30 cm. what is the distance of AB from the center?

Solution

Problem 4 :

What is the length of a chord which is at a distance of 4 cm from the center of a circle of radius 5 cm?

Solution

Problem 5 :

If the radius of a circle is 13 cm and the length of its chord is 10 cm then what is the distance of chord from the center?

Solution

Problem 6 :

If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is:

Solution

1) Distance from center to chord is 9 cm.

2)  The radius of the circle is 13 cm.

3)  The distance of AB from the center of circle is 8 cm.

4)  the distance of the chord is 12 cm.

5)  the distance of the chord is 12 cm.

6)  the radius of the circle is 10 cm.

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Solution

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