Question

draw two tangents from a point 10cm away from the centre of the circle​

Answer 1

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Radius = 5 cm

The distance between the point from the centre is 10 cm.

Steps:

(1) With O as centre, draw a circle of radius 5 cm.

(2) Draw a line OP =10 cm.

(3) Draw a perpendicular bisector of OP which cuts OP at M.

(4) With M as centre and MO as radius, draw a circle which cuts previous circle at A and B.

(5) Join AP and BP. AP and BP are the required tangents. Thus length of the tangents are PA and PB = 8.7 cm.

Answer 2

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Radius = 5 cm

The distance between the point from the centre is 10 cm.

Steps:

(1) With O as centre, draw a circle of radius 5 cm.

(2) Draw a line OP =10 cm.

(3) Draw a perpendicular bisector of OP which cuts OP at M.

(4) With M as centre and MO as radius, draw a circle which cuts previous circle at A and B.

(5) Join AP and BP. AP and BP are the required tangents. Thus length of the tangents are PA and PB = 8.7 cm.