Question

Draw a circle of radius 3.6 cm. Draw a tangent to the circle at any point on it without using the centre.

Answer 1

Steps of Construction:

Step 1: Draw a circle with radius 3.6 cm. Mark any point C on it.

Step 2: Draw chord CB and an inscribed ∠CAB.

Step 3: With the centre A and any convenient radius draw an arc intersecting the sides of ∠BAC in points M and N.

Step 4: Using the same radius and centre C, draw an arc intersecting the chord CB at point R.

Step 5: Taking the radius equal to d(MN) and centre R, draw an arc intersecting the arc drawn in step 4. Suppose D be the point of intersection of these arcs. Draw line CD.

Here, line CD is the required tangent to the circle.