# Draw a circle with a radius of 3.5 cm. Take the point K anywhere on the circle. Draw a tangent to the circle from K (without using the center of the circle) - Geometry Mathematics 2

Diagram

Draw a circle with a radius of 3.5 cm. Take the point K anywhere on the circle. Draw a tangent to the circle from K (without using the center of the circle)

#### Solution

Steps of construction:

1. Draw a circle of radius 3.5 cm and take any point K on it.
2. Draw chord BK of any length and an inscribed ∠BAK of any measure.
3. By taking A as centre and any convenient distance on compass draw an arc intersecting the arms of ∠BAK in points Q and R.
4. With K as centre and the same distance in the compass, draw an arc intersecting the chord BK at point S.
5. Taking radius equal to QR and S as centre, draw an arc intersecting the previously drawn arc. Name the point of intersection as P.
6. Draw line KP.
Line KP is the required tangent to the circle.
Is there an error in this question or solution?
Chapter 4: Geometric Constructions - Q.3 (B)

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