# Draw a circle at radius 4 cm.

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Draw a circle at radius 4 cm. Take a point on it. Without using the centre at the circle, draw a tangent to the circle at point P.

answered Mar 14 by (-11,279 points)

Steps of construction :

(i) Draw a chord PQ through the given point on the circle.

(ii) Take a point R on the circle and join P and Q to a point R.

(iii) Construct  ∠QPY = ∠PRQ on the opposite sides of the chord PQ.

(iv) Produce YP to X’ to get YPX as the required tangent.

Construct a tangent to the circle from an external point:

In this section we shall study the construction at tangent to a circle from an external point when its center is ;  (i)Known (ii)Unknown

Type (Ii). Contruction at tangent to a circle from an external point when its centre is known.

Steps of construction :

(i) Join the centre O of the circle to the given external point P  i.e., join OP.

(ii) Draw right bisector of OP, intersecting OP at Q.

(iii) Taking Q as centre and OQ = PQ as radius, draw a circle to intersect the given circle at T and T’.

(iv) Join PT and PT’ to get the required tangents as PT and PT’.