A line segment AB is 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.

Question

Philoid · Accepted Answer

(i) Draw a line segment AB of 5 cm

(ii) Draw the perpendicular bisector of AB

(iii) With centre A and radius of 4 cm draw an arc which intersects the perpendicular bisector at point O. O will be the required centre.

(iv) Join OA

(v) With centre O and radius OA draw a circle.

No, we cannot draw a circle of radius 2 cm passing through A and B because when we draw an arc of radius 2 cm with centre A, the arc will not intersect the perpendicular bisector and we will not find the centre.

A line segment AB is 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.