Question

Draw a circle of 3cm with A centre. Take a point B on the circle.Now with B as center,radius equal to 3cm,draw another circle.Does this circle pass through the point A?Now let C and D be two point.Where does these two circles intersect​

Answer 1

Step 1: Place a compass on any point C on the paper and draw a circle of radius 6 cm.

Step 2: Mark a point P outside the circle at a distance of 10 cm from C.

Step 3: Place the compass on P, take radius of more than 5 cm and draw two arcs on both sides of line CP. With the same radius, mark two arcs from point C which intersect the arcs drawn from P.

Step 4: Join the intersection points of the arcs to obtain the perpendicular bisector of CP. Mark the mid point of CP as M.

Step 5: Place the compass on M and draw a circle with radius =PM=CM

Step 6: Mark the intersection points of the circle obtained in step 5 and the original circle as A and B. Join P−A and P−B.

Measure ∠ACB with a protractor. m∠ACB=120

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