(a)

Express the area $\"\"$ of the rectangle as a function of the radius $\"\"$ of the semi circle.

Formula for the area of rectangle $\"\"$ , where $\"\"$ is length and $\"\"$ is the width of rectangle.

Length of the rectangle is $\"\"$ and width of the rectangle $\"\"$ .

$\"\"$

$\"\"$ .

(b)

Express the perimeter $\"\"$ of the rectangle as a function of the radius $\"\"$ .

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

Substitute $\"\"$ and $\"\"$ .

$\"\"$

$\"\"$ .

(a) $\"\"$ .

(b) $\"\"$ .