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J3. Properties of a circle : perpendicularity. Draw a circle Draw a radius. Draw a tangent at the same point on the circumference. The radius and tangent will be perpendicular. The radius and tangent will always be perpendicular regardless of the size of the circle or where the radius is drawn. Therefore... The radius and tangent are always perpendicular. Sorry, this page requires a Java-compatible web browser. Change the size of the circle and where the radius is drawn. The radius and tangent remain perpendicular.