Question

Line AB is tangent of a circle with radius 6 cm and cente P find Angel PAB= ?​

Answer 1

Answer:

It may always form an acute angle.

Answer 2

Given:

AB is a tangent of a circle having centre P.

Radius of the circle = 6cm

To find:

Measure of ∠PAB.

Solution:

Tangent to a circle is a line that touches one point on the surface of the circle.

A line tangent to a circle having a radius $r$ and centre $P$ is perpendicular to the radius of the circle, i.e., the radius of a circle makes an angle of 90° to any tangent of the circle.

Here, line AB is tangent to the circle having a radius of 6cm and centre as P. This line makes 90° to the radius of the circle, i.e.,

∠PAB = 90°

Hence, the measure of ∠PAB = 90°.

The measure of ∠PAB where AB is a line tangent to a circle having a radius of 6cm and centre P is 90°.