Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the perpendicular bisector of line segment AB. Does it pass through the centre of the circle?

Question

Draw a circle with centre at point O and radius 5 cm. Draw its chord AB , draw the perpendicular bisector of line segment AB. Does it pass through the centre of the circle?

Philoid · Accepted Answer

We are asked to draw the circle centered at O of radius 5 cm with its chord AB

We follow the following steps:

STEP1: Draw a circle with centre at point O and radius 5 cm.

STEP2: Draw its cord AB.

STEP3: With centre A as centre and radius more than half of AB, draw two arcs, one on each side of AB.

STEP4: With B as centre and the same radius as in step3, draw arcs cutting the arcs drawn in the previous step at C and D respectively.

STEP5: Draw the line segment with C and D as end-points.

The line segment CD is the required perpendicular bisector of AB. Since CD is perpendicular bisector of AB which is chord of circle, hence it passes through the centre of the circle.

Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the perpendicular bisector of line segment AB. Does it pass through the centre of the circle?