Draw a circle with the help of bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle. Measure lengths of tangent and write conclusion.
Answers
Step 1: Draw a circle by tracing the surface of a bangle.
Step 2: Take a point P outside the circle. Draw secant P−R−Q
Step 3: Place the compass on P and mark two arcs on opposite side of PQ. Now, place the compass on Q and draw two arcs intersecting the arcs drawn from P.
Step 4: Join the intersection points of the arcs to obtain the perpendicular bisector of PQ. Mark the mid point of PQ as M.
Step 5: Place the compass on M and taking PM as radius draw a semicircle passing through P and Q.
Step 6: From point R, draw a perpendicular to PQ and let it intersect the semicircle drawn in step 5 at C.
Step 7: Place the compass at P and with PC as radius, mark two arcs on the original circle and mark them as A and B.
Step 8: Join P−A and P−B
PA and PB are the required tangents.
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