Question

draw a circle of radius 3.4cm and centre E take point F on the circle take another point A such that E F A and FA =4.1 cm draw tangents to the circle from point A

Answer 1

Draw a circle of radius 3 cm and draw a secant PAB

Draw perpendicular bisector of PB. Let M be the midpoint of PB

With M as centre and radius MP or MB draw a semi circle

Now draw a perpendicular at point A. Let it intersect the semicircle at point C.

Measure the length PC and with P as centre and radius PC draw two arcs on the circle and mark the intersection points as T and S.

Join the points P, T and P, S.

PT and PS are the required tangents drawn from external point P.

Answer 2

Draw a circle of radius 3. 4cm and draw a secant PAB

Draw perpendicular bisector of PB. Let M be the midpoint of PB

With M as centre and radius MP or MB draw a semi circle

Now draw a perpendicular at point A. Let it intersect the semicircle at point C.

Measure the length PC and with P as centre and radius PC draw two arcs on the circle and mark the intersection points as T and S.

Join the points P, T and P, S.

PT and PS are the required tangents drawn from external point P.