Question

Four cows are tethered at four corners of a square plot of side $50$ m as shown in figure. What area will be left ungrazed ?

Answer 1

Let the side of square is $a$.

$a=25+25=50m$

$\Rightarrow$ Area of square $=a^2=(50{)}^2=2500m^2$

$\Rightarrow$ Area of quadrant inside square $=\frac{1}{4}\pi r^2=\frac{1}{4}\times \frac{22}{7}\times (25{)}^2$

$\therefore$ Area of quadrant inside square $=491.70m^2$

$\Rightarrow$ Area of shaded region = Area of square - $4\times$ Area of quadrant.

$\Rightarrow$ Area of shaded region $=2500-4\times 491.07$

$\therefore$ Area of shaded region $=2500-1964.28=535.71m^2$