An inscribed square expressed using the circle diameter

An inscribed square expressed using the circle diameter

Secondary 2
6 marks
TGM Original Questions

Core stretch

Square \(WXYZ\) is inscribed in a circle of diameter \(d\) cm.

  1. Show that its side length is \(d/\sqrt2\) cm.[2]
  2. By comparing the two perimeters, show that \(\sqrt2<\pi/2\).[2]
  3. State the type of numbers \(\sqrt2\) and \(\pi\) are.[2]

Solution:

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Answer:(a) \(d/\sqrt2\) (b) shown (c) both irrational numbers.

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