Question

(iii) Draw a circle with centre O and radius 3.9 cm. Draw a tangent to the circle
at any point on it without using the centre.​

Answer 1

Answer:

1. Construct a circle of 3.9 cm with centre O. Take any point M on it.

2. Join O−M and draw perpendicular of OM at M.

This is the required tangent of the circle.

Answer 2

Given : a circle with centre O and radius 3.9 cm

To Find : Draw a tangent to the circle at any point on it without using the centre.

Solution

1. Draw a circle of radius 3.9 cm. Take a point P outside it.

2. Through P draw a secant PAB to meet the circle at A and B.

3. Produce AP to C such that PC = PA. Bisect CB at Q.

4. With CB as diameter and center as Q, draw a semi-circle.

5. Draw PD ⊥ CB, to meet semi-circle at the point D.

6. Intersect P as center and PD as radius draw an arc to interest the circle at T and T'.

7. Join P to T and P to T'

PT and PT' are the required tangents.

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