A circle of radius $\"\"$ is inscribed in a square.

(a) Express the area $\"\"$ of the square as a function of the radius $\"\"$ of the circle.

Formula for the area of square $\"\"$ , where $\"\"$ is side of the square.

Observe the figure, length of the diameter of the circle is equals to side of the square.

$\"\"$

Substitute $\"\"$ in $\"\"$ .

$\"\"$

$\"\"$ .

(b) Express the perimeter $\"\"$ of the square as a function of $\"\"$ .

Formula for the perimeter of square $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$

$\"\"$ .

(a) The function is $\"\"$ .

(b) The function is $\"\"$ .