Segments AB and BC are both tangent to the circle shown above. What is the length of BC? *Note: photo not necessarily to scale

Both the tangents are equal to each other. Then the length of BC will be 5.
It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
A tangent to a circle is a line that passes through the centre of the circle precisely once.
As illustrated in the diagram, there are precisely two tangents to a circle that may be drawn from a location just outside of the circle.
Then both the tangents are equal to each other.
The length of BC will be 5.
The diagram is shown below.
More about the circle link is given below.
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