Construction 1. To construct a tangent to a circle at a point P on it without using the centre of the circle.
Procedure: -
- A chord PQ through P is drawn.
- Any point R is taken on the major arc PQ. PR and QR are joined.
- Equal to is constructed.
PX is required tangent to the circle at P.
Construction 2. To construct a tangent to circle from a point P outside the circle using its centre O.
Procedure:-
- OP is joined and is bisected at M.
- Taking M as centre and MO as radius a semicircle is drawn which intersect the given circle at Q.
- PQ is the required tangent from P to the circle.
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