Question

Draw a circle of radius $3cm$ and construct two tangents to it from an external point $8cm$ away from its centre.

Answer 1

(i) Draw a circle of radius $3cm$.

(ii) Draw a straight line of $8cm$ from the centre and give it a name say $OA$.

(iii) Now, draw a perpendicular bisector of the line $OA$.

(iv) Place the compass to the midpoint of a line, adjust its length to reach the endpoint and draw the arcs to the circle.

(v) Draw the lines which passes through the arc and endpoints of the bisector.

$AR$ and $AT$ are the required tangents.