**Circles ncert solutions Chapter 10 Exercise 10.2 Question 6**

**6.** The length of a tangent from a point A at distance 5 cm from the center of the circle is 4 cm. Find the radius of the circle.

**Solution:**

AB is tangent to the circle and O is the center of the circle.

It is given that AO = 5 cm and AB= 4 cm.

We know that tangent is perpendicular to the radius of circle. Therefore, .

We can apply Pythagoras theorem on .

**cm**

**Therefore, Radius of the circle is equal to 3 cm.**