Question

In the above figure, area of a square $ABCD$ is $S$ and area of each shaded portion is $P$ and area of inner circle is $Q$. Then the area of remaining part of a square is

Answer 1

Area of each shaded region is P and there are four shaded regions.

Let R be the area of remaining region.

Area of square ABCD = Area of shaded region x 4 + area of inner circle + area of remaining region

therefore,

$S=4\times P+Q+R$

thus area of remaining region ( R) = S - 4P -Q