Name: Erin

Who is asking: Other Level: Secondary

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 30 ft, express the atrea, A, as a function of the width x of the window.

Hi Erin,

Draw a diagram.

Write the radius of the circle, r, in terms of x.

The perimeter is x 30 ft, hence,

x + 2h + (half the circumference of a circle of radius r) = 30 ft.

Solve this equation for y.

The area of the window is

xy + half the area of a curcle of radius r.

Go to Math Central