Question

Draw a circle of radius 3.4 cm and centre E. Take a 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

Steps of Construction:
​Step 1: Construct a circle of radius 3.4 cm with centre E.
Step 2: Mark a point F on the circle.
Step 3: Take a point A in the exterior of the circle such that FA = 4.1 cm
Step 4: Draw segment FA. Draw perpendicular bisector of segment EA to get its midpoint M.
Step 5: Draw a circle with radius EM and centre M.
Step 6: Name the point of intersection of the two circles as X and Y.
Step 7: Draw line AX and line AY.

Here, line AX and line AY are tangents to the circle from point A.