Question

Question 82

Draw a circle of radius 6 cm using ruler and compass. Draw one of its diameters. Draw the perpendicular bisector of this diameter. Does this perpendicular bisector contain another diameter of the circle?

Answer 1

Steps of construction are as follows:

Step I: Open the compass for the required radius of 6 cm by putting the pointer on O and open the pencil upto 6 cm

Step II: Place the pointer of the compass at O

Step III: Rotate the compass slowly to draw the circle.

Step IV: Draw a diameter AB

Step V: Draw the perpendicular bisector of AB, which intersects AB at O.

Clearly, the perpendicular bisector of $\overline{AB}$ i.e. $\overline{PQ}$ is another diameter of the circle. Yes the perpendicular bisector of AB contain another diameter of the circle.