Is it possible to construct a pair of tangents from point P to circle of radius 5 cm situated at a distance of 4.9 cm from the centre?

Answer

To determine whether it is possible to construct a pair of tangents from point P to a circle of radius 5 cm, situated at a distance of 4.9 cm from the center of the circle, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Circle and Point P**:
- We have a circle with a radius of 5 cm.
- The distance from the center of the circle to point P is given as 4.9 cm.

2. **Understand the Relationship**:
- For a point outside the circle, tangents can be drawn. The distance from the point to the center of the circle must be greater than the radius of the circle.
- If the distance from point P to the center of the circle is less than the radius, then point P is inside the circle.

3. **Compare the Distances**:
- The radius of the circle is 5 cm.
- The distance from point P to the center is 4.9 cm.
- Since 4.9 cm (distance from P to center) is less than 5 cm (radius of the circle), point P is inside the circle.

4. **Conclusion**:
- Since point P is inside the circle, it is not possible to construct tangents from point P to the circle.
- Therefore, the answer is **No**, it is not possible to construct a pair of tangents from point P to the circle.