Library / /2 of 740

, 2013

Geometry Difficulty 3.5 AMC 10/12 Find the answer United States

Problem:
A square is inscribed in a circle of radius $1$ . Find the perimeter of the square.

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Solution:
The square has diagonal length $2$ , so the side length is $\sqrt{2}$ and the perimeter is $4\sqrt{2}$ .

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.