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Question
A line segment AB is of length 5 cm. Draw a circle of radius 4 cm passing through A and B. Can you draw a circle of radius 2 cm passing through A and B? Give reason in support of your answer.
Solution
(i) Draw a line segment AB of 5cm
(ii) Draw the perpendicular bisectors of AB
(iii) Draw an arc which intersects the perpendicular bisectors at point O will be required center.
(iv) With center O and radius OA draw a circle. No, we cannot draw a circle of radius 2cm passing through A and B because when we draw an arc of radius 2cm with center A, the arc will not interest the perpendicular bisector and we will not find the center
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