Square formed by circle
In the given diagram, 2 diameters of 10 units are drawn perpendicular to each other then 4 perpendicular bisectors are passed through all 4 radius formed by diameters which forms a square. Find area of square, ratio of area of circle and area of square and ratio of perimeter of circle and perimeter of square?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
When I made this diagram in Geogebra I got that radius of circle is equal to side of square. i.e. Radius = Side. Therefore,
(1)area of square
= side² = radius² = 5² = 25.
(2)Area of circle : Area of square
= π * Radius² : Side²
= π * Radius² : Radius²
= π.
(3)Perimeter of Circle : Perimeter of square
= 2 * π * Radius : 4 * Side
= 2 * π * Radius : 4 * Radius
= π : 2.