#### Question

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

#### Solution

**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.

Is there an error in this question or solution?

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Solution Draw a Circle of Radius 3.6 Cm. Draw a Tangent to the Circle at Any Point on It Without Using the Centre. Concept: Construction of Tangent Without Using Centre.

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