Question

Draw a circle with center O and radius 3.9cm. Draw a tangent to the circle at any point on it with out using the center

Answer 1

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.