Question

Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance 7.3 cm from the centre.

Answer 1

Steps of Construction:

​Step 1: Construct a circle of radius 4.1 cm with centre P.

Step 2: Take a point Q in the exterior of the circle such that PQ = 7.3 cm

Step 3: Draw segment PQ. Draw perpendicular bisector of segment PQ to get its midpoint M.

Step 4: Draw a circle with radius PM and centre M.

Step 5: Name the point of intersection of the two circles as A and B.

Step 6: Draw line QA and line QB.



Here, line QA and line QB are tangents to the circle from point Q.