# The diameter of a circle is 10 cm. If the distance of a chord from the centre of the circle be 4 cm, then the length of the chord is :

The diameter of a circle is 10 cm. If the distance of a chord from the centre of the circle be 4 cm, then the length of the chord is

- 6 cm
- 3 cm
- 5 cm
- 4 cm

**Answer: (1) 6 cm **

**Solution****:-**

**AP = sqrt, (5^2 – 4^2)**

= sqrt.(25 – 16)

= sqrt.9

AP = 3 cm

Then, the length of the chord AB = 2 x 3 = 6 cm

Hence, the correct answer is option (1) 6 cm.