Question

Draw a circle of radius $3.2$cm. At a point on it, draw a tangent to the circle using the tangent-chord theorem.

Answer 1

Given: The radius of the circle$=3.2$cm.
Construction:
(i) With O as the centre, draw a circle of radius $3.2$cm.
(ii) Take a point P on the circle.
(iii) Through P, draw any chord PQ.
(iv) Mark a point R distinct from P and Q on the circle so that P, Q and R are in counter clockwise direction.
(v) Join PR and QR.
(vi) At P, construct $\angle$QPT$=\angle$PRQ.
(vii) Produce TP to T' to get the required tangent line T'PT.