# Find The Length of The Tangent ? If

A tangent is drawn to a circle of radius 6 cm from a point situated at a distance of 10 cm from the centre of the circle. The length of the tangent will be

- 5 cm
- 8 cm
- 4 cm
- 7 cm

**Answer: (2) 8 cm**

**Explanation:-**

** Given-**

Radius of the circle = 8 cm & distance from the point to the center of the circle = 10 cm

PQ^{2} = OQ^{2} – OP^{2} (by Pythagoras theorem)

Then, PQ^{2} = 10^{2}– 6^{2}

PQ^{2} = 100 – 36

PQ^{2} = 64

Square root on both sides,

PQ = 8 cm

Then, the length of the tangent is 8 cm.

Hence, the answer is (2) 8 cm