Question

Inside a square plot, a circular garden is developed which exactly fits in the square plot and the diameter of the garden is equal to the side of the square plot which is 28 m. What is the area of space left out in the square plot after developing the garden ?

Answer 1

Radius of the circular garden$r=\frac{28}{2}=14\text{m}$

Area$=\pi r^2$

$=\frac{22}{7}\times 14\times 14{\text{m}}^2$

$=616{\text{m}}^2$

Area of square plot = $28\times 28=784{\text{m}}^2$

$\therefore$ Area of the shaded region $=(784-616){\text{m}}^2$

$=168{\text{m}}^2$