Question

The figure is a circle with center O.

Answer 1

Given:

Given that the circle with center O.

The radius of the circle is OB.

The chord of the circle O is PQ and the length of PQ is 12 cm.

We need to determine the length of the segment PA.

Length of the segment PA:

We know that, "if a radius is perpendicular to the chord, then it bisects the chord and its arc".

Thus, we have;

$PA=\frac{PQ}{2}$

Substituting the value PQ = 12, we get;

$PA=\frac{12}{2}$

$PA=6 \ cm$

Thus, the length of the segment PA is 6 cm.

Hence, Option d is the correct answer.