# Question Video: Finding the Distance between the Centers of Two Circles given the Radius of One of Them Mathematics • 11th Grade

The diameter of the circle with center π is 23, and π΅π = 5. Find the length of line segment π΄π΅.

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### Video Transcript

The diameter of the circle with center π is 23, and π΅π equals five. Find the length of line segment π΄π΅.

The first piece of measurement information that weβre given here is that the diameter of the circle with center π is 23. We can remember that the diameter of a circle is a line segment passing through the center, which joins two distinct points on the circumference. This line segment π΄π in the figure then is not a diameter; it is, in fact, a radius. The radius of a circle is half the length of the diameter. The length of the line segment π΄π can therefore be found by taking half of 23, which is 11.5.

The length that we need to work out is that of the line segment π΄π΅. And we can use the fact that weβre told that π΅π is equal to five length units. And so, the length of π΄π΅ must be equal to 11.5 β thatβs the length of the line segment π΄π β subtract five, which is equal to 6.5. Therefore, the length of the line segment π΄π΅ is 6.5 and the units for that would be length units.