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Both the red and blue line segments stretch from the center of the circle to a point on the circle. The length of the blue line segment is 8. How long is the red line segment?

Question

Both the red and blue line segments stretch from the center of the circle to a point on the circle. The length of the blue line segment is 8. How long is the red line segment?

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Solution

The question does not provide enough information to determine the length of the red line segment. In a circle, a line segment from the center to a point on the circle is a radius. If the red line segment is also a radius of the same circle, then it would also be 8, the same length as the blue line segment. However, without this information, we cannot definitively determine the length of the red line segment.

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