Question

A square is inscribed inside a circle of radius 10, What is the area of the circle not covered by the square?

Answer 1

Area of the circle not covered by the square is `114.16` units

Explanation:

When a square is inscribed inside a circle, the diagonal of square and diameter of circle are equal. Further, if radius is `1` unit, using Pythagoras Theorem, the side of square is `sqrt2`.

Now as radius of circle is `10`, are of circle is `pixx10xx10=3.1416xx100=314.16`

and as the radius is `10`, side of square is `10sqrt2` and area of square is `(10sqrt2)^2=10xx10xx2=200`

and area of the circle not covered by the square is `314.16-200=114.16` units