Question

Find the value of x - this is circle segments.

Answer 1

Given:

Diagram of a circle and its two secant from an exterior point.

To find:

The value of x.

Solution:

We know that, If two secant are on a circle from an exterior point, then the products of measure of secants and measure of external segments of secants are equal.

Using the above property, we get

Splitting the middle term, we get

Using zero product property, we get

and

and

Side cannot be negative.

Therefore, the only possible value of x is 1.