# Find The Length of The Segment of The Tangent Between them

The distance between the centres of two circles with radii 9 cm and 16 cm is 25 cm. The length of the segment of the tangent between them is

- 24 cm
- 25 cm
- 50/3 cm
- 12 cm

**Answer: (1) 24 cm**

**Explanation:-**

**Formula-
**

**(distance between their centres)**Then, (length of the segment of the tangent)

^{2}= (difference of their radius)^{2}+ (length of the segment of the tangent)^{2 }^{2}= (distance between their centres)

^{2}– (difference of their radius)

^{2 }According to the question,

(length of the segment of the tangent)

^{2}= (25)

^{2}– (7)

^{2 }= 625 – 49

= 576

(length of the segment of the tangent)

^{2}= 24

^{2 }length of the segment of the tangent = 24 (square root of both side)

Hence, the length of the segment of the tangent between them is 24 cm.