Question

tangent drawn from point A touches the circle with center P and B. Then m angle PBA =_______.​

Answer 1

Answer:

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Answer 2

Given:

A circle with center P

An exterior point A through which a tangent is drawn to the circle.

A point B where the tangent touches the circle.

To find:

Measure of ∠PBA.

Solution:

When a tangent is drawn to a circle from an exterior point, the tangent touches the circle at only one point. This tangent makes an angle of 90° with the radius of the circle.

Here, A is a point outside of a circle with centre P, through which a tangent is drawn as shown in the figure. This tangent touches the circle at point B. Distance from the centre to B is the radius of the circle. This radius makes an angle of 90° to the tangent. Thus, the measure of ∠PBA = 90°.

The measure of ∠PBA = 90° where P is the centre of a circle and AB is a line drawn tangent to the circle.