To solve the problem, we need to find the angle between a tangent to a circle and the radius drawn to the point of contact.
1. Geometrical Property of Circle:
A tangent to a circle is always perpendicular to the radius at the point where the tangent touches the circle.
2. Meaning of Perpendicular:
Perpendicular lines meet at a right angle, which is:
$ 90^\circ $
Final Answer:
The angle between the tangent and the radius is $ 90^\circ $.
$PQ$ is a chord of length $4\ \text{cm}$ of a circle of radius $2.5\ \text{cm}$. The tangents at $P$ and $Q$ intersect at a point $T$. Find the length of $TP$.