Question

draw circle of radius 5cm take a point P on it without using the centre of the circle draw a tangent to the circle at point P​

Answer 1

1)Draw circle of radius 5cm

2)Extend radius OA

2)At point A, draw an angle of 90°

Answer 2

Refer the attachment for the answer.

Steps of construction are as follows :

1. Draw a circle of radius 5 cm. Take a point P on it.

2. Draw any chord PQ and Angle QRP in the alternate segment.

3. With Q as the centre and any convenient radius, draw an arc intersecting the sides RQ and PR.

4. Using the same radius and centre P, draw an arc intersecting chord P.

5. Taking radius equal to earlier drawn arc, draw another arc intersecting the arc drawn in the previous step. Let T be the point of intersection of these arcs. Draw line PT.

PT is the required tangent to the circle.

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