A line joining the centres of two tangent circles also passes through the point of tangency.
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Neither secant nor tangent pass through the center of a circle. A secant passes through one point on the circle and the tangent passes through two points on a circle.
No, a tangent is a line that intersects a circle at exactly one point. The radius of a circle is the distance from the center of the circle to any point on the perimeter of the circle.
Yes, a cord that is a diameter always passes through the center of a circle. And it's also the longest cord of that circle.
Yes a diameter will ALWAYS pass through the center
The diameter ALWAYS passes through the center of a circle. If it stopped at the center point, it would be a radius, and if it didn't do either, it would be chord.