Question

what does it mean by Draw a perpendicular diameters of a circle?

Answer 1

Perpendicular from any Point of a Circle on a Diameter is a Mean Proportional. The perpendicular dropped from a point of a circle on a diameter is a mean proportional between the segments into which it divides the diameter.

Answer 2

Answer:

Each diameter of a circle is perpendicular to the tangent line to that circle at the point where the diameter intersects the circle. ... Thales' theorem states that two lines both through the same point on a circle but going through opposite endpoints of a diameter are perpendicular.

Hence, it is a rectangle. (ii) If the diameters are perpendicular to each other, then by joining the ends of two diameters, we get a square. By measuring, we find that AB = BC = CD = DA, i.e., all four sides are equal.