Question

Draw a circle of radius 6cm. Draw tangents to this circle, from a point P,which is 5cm. away from its centre​

Answer 1

Answer:

Step 1: Draw a circle by keeping the compass on point O and taking radius =6 cm

Step 2: Take a point P outside the circle at a distance of 10 cm from centre O with the help of a ruler. Draw segment OP.

Step 3: Place the compass on point P and draw two arcs above and below line OP.

Step 4: Repeat the above step by placing the compass on point O such that the two arcs from O intersect the two arcs from P.

Step 5: Join the intersection points of the arcs to obtain the perpendicular bisector of OP. Let this perpendicular bisector intersect OP at point M.

Step 6: Place the compass on point M and draw a circle with radius =PM=OM. Let this circle intersect the circle with centre O at points Q and R.

Step 7: Join P−Q and P−R.

PQ and PR are the required tangents to the circle with radius =6 cm from an external point P at a distance of 10 cm.

By measuring PQ and PR, we get PQ=PR=8 cm

∴ sum of the lengths of the tangents =8+8=16 cm

Step-by-step explanation:

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