Question

Dion makes and sells stained glass suncatchers in different shapes. For one of his designs, he attaches semicircles to each side of a square that has a side length of 4 centimeters. He builds a frame around the outside of each suncatcher to hold it together.What is the approximate length of the frame that Dion used on this suncatcher?

Answer 1

Designs shape is:

So length is :

Perimeter of half circle is:

`\text{ Perimeter =}\pi r+2r`

Radius of circle is:

`\begin{gathered} r=(D)/(2) \\ r=(4)/(2) \\ r=2 \end{gathered}`

So the length is:

`\begin{gathered} =4(\pi r+2r) \\ =4(2\pi+2(2)) \\ =4(2\pi+4) \\ =4(6.283+4) \\ =4*10.283 \\ =41.132 \end{gathered}`

So the approximate length is 41 centimeter.