Start learning →

Why is squaring the circle impossible with ruler and compass?

AA square has four sides
BPi is a rational number
CA circle has no corners
DPi is a transcendental number
Answer & Solution
Correct answer: D. Pi is a transcendental number
1. Lindemann showed in 1882 that pi is transcendental. 2. A square of equal area would need a length involving pi, which constructions cannot produce. 3. The shape of the square or circle is not the reason; the number pi is. _Source: Wikipedia, Straightedge and compass construction, section History_
Practise this question with Quill — CTET →

Keep practising Straightedge and Compass Construction

Browse all Straightedge and Compass Construction questions for CTET, or explore more Mathematics topics.

Start a Straightedge and Compass Construction lesson →