For the construction of a tangent to a circle without using its centre, the property used is

To construct the tangents to a circle from a point outside it.

Draw a circle of radius 4.2 cm. Take any point K on it. Draw a tangent to the circle without using centre of the circle.

Construction of frequency polygon without using Histogram.

Draw a circle of radius 3 cm. Mark a point P on the circle. Draw tangent to the circle through point P using the centre of the circle Analysis A circle of radius 3 cm can be drawn. Let the cemntre of the given circle be O and line l be the required tangent We know, converse of tangent theorem states that , 'A line perpendicular to radius at its outer end is tangent . therefore We construct perpendicular to radius OP at point, then line l is the required tangent .

Construct an angle of 180^@ without using protractor.

Draw any circle. Take any point on it and construct tangent at A without using the centre of the circle.

Draw any circle. Take any point A on it and construct tangents at A without using the centre of the circle.

Draw any circle. Take any point A on it and construct tangent at A without using the centre of the circle.