Question

Find the perimeter of the region. + 90° 2 in. + 6 in. 90° 90° 6 in.

Answer 1

The perimeter of the region = Perimeter of the square - 4 x Quarter of a circle

Perimeter of the square = 4 x Length = 4 x 10= 40 inches

`\begin{gathered} \text{Perimeter of one quarter of a circle= }(2\pi r)/(4) \\ =(2*3.142*2)/(4)\text{ = 3.142 inches} \end{gathered}`
`\begin{gathered} \text{Perimeter of the shaded region = 40 - 4(3.142) } \\ =40-12.568\text{ =27.432 inches} \end{gathered}`