Draw two tangents to a circle of radius 3.5 cm from a point P at a distance of 6.2 cm from it centre

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Draw two tangents to a circle of radus 3.5 cm from a point P at a distance of 6.2 cm from its centre.

Solution

Steps of construction:
1. Draw a circle with O as a center and a radius of 3.5 cm.

2. Mark a point P outside the circle such that OP = 6.2 cm
3. Join OP. Draw the perpendicular bisector XY of OP, cutting OP at Q.
4. Draw a circle with Q as the center and radius PQ( or OQ), to intersect the given circle at the points, T and T`.
5. Join PT and PT`.

Here, PT and PT` are the required tangents.

Mathematics
Secondary School Mathematics X
Standard X

Suggest Corrections

Draw two tangents to a circle of radius 3.5 cm form a point P at a distance of 6.2 cm form its centre.

Steps of Construction
Step 1: Draw a circle with O as center and radius 3.5 cm.

Step 2: Mark a point P outside the circle such that OP = 6.2cm.Step 3: Join OP. Draw the perpendicular bisector XY of OP,cutting OP at Q.Step 4: Draw a circle with Q as center and radius PQ (or 0Q), to intersect the given circle at the points T and T’.

Step 5: Join PT and PT’.

Here, PT and PT’ are the required tangents.

Concept: Construction of Tangents to a Circle

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