Question

What is the approximate length of the edge that Tasha will cover with tile

Answer 1

Given:

length=16

width=12

radius=4.5

So total length is:

length of half circle is:

circumference of circle:

`\begin{gathered} C=2\pi r \\ \text{half circle=}(2\pi r)/(2) \\ =\pi r \end{gathered}`

`\begin{gathered} r=4.5 \\ =\pi r \\ =\pi(4.5) \\ =14.137 \end{gathered}`

For there sides of circle is:

`\begin{gathered} \text{length}+\text{width}+\text{width} \\ =16+12+12 \\ =40 \end{gathered}`

for circle side length is:

`\begin{gathered} =16-(\text{diameter of circle)} \\ =16-(2*4.5) \\ =16-9 \\ =7 \end{gathered}`

So total length is:

`\begin{gathered} =14.137+40+7 \\ =61.137 \\ \approx61 \end{gathered}`

Approximate length of the edge that Tasha will cover with tile is 61.