Question

Draw a circle with the help of a bangle.find its centre Give a construction to find its centre

Answer 1

Answer:

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.