Question

A square garden is inscribed within a circular lot having a radius of 4 square root of 2 feet. Find the perimeter of the garden?

Answer 1

The radius of the circle=4√2 feet.

The diameter of the circle=8√2feet.

The diameter of the circle=The hypotenuse of a triangle whose other sides are identical.

According to pythagoras theory

2×(side of square)²=(hypotenuse)²

Side of square =√{(8√2)^​​​​​​^​​2/2}=8feet.

The perimeter of garden =perimeter of square=4×side of square=32 feet.