# FIND SHORTEST DISTANCE FROM CENTER TO CHORD WORKSHEET

Problem 1 :

In figure, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB. What is the length of CD?

a) 2 cm     b) 3 cm     c) 4 cm     d) 5 cm Solution

Problem 2 :

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

a) 6 cm   b) 8 cm    c) 10 cm    d) 12 cm

Solution

Problem 3 :

In a circle radius is 13 cm, a chord is drawn at a distance of 12 cm from the center. Find the length of the chord.

a) 5 cm   b) 10 cm    c) 15 cm    d) 30 cm

Solution

Problem 4 :

Three points A, B and C are located on a circle which are equidistant from one another. If the radius of the circle is 20m the calculate the length of AB.

Solution

1)  CD = 2 cm

2)  the radius of circle is 10 cm.

3)  the length of chord will be 10 cm.

4)  the length of AB is 20√3 m.

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. Solution

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