Question

Angle A is circumscribed about circle O. What is the length of AC?

Answer 1

the assumption being, that the angles at vertices C and B are right-angles, namely 90°, which will mean that C and B are points of tangency, since tangent lines and radius segments always meet at right-angles.

well, the tangents lines meet outside at a certain point, here at vertex A, when that happens, both outside tangents are the same length, so AB = 6 = AC.

Answer 2

The length of line AC is 6 units.

Explanation:

Given information: Angle A is circumscribed about circle O, AB=6 units anf radius of circle is 3 units.

Since A is circumscribed about circle O, it means AC and AB are tangents to circle.

According to the Circle Theorem, tangents from the same point have the same length.

AC and AB are tangents on the circle from point A, so

`AC=AB`

`AC=6`

Therefore the length of line AC is 6 units.