Question

What is the perimeter and area to nearest unit of picture

Answer 1

to find the perimeter

start by calculating perimeter of the portion of the circle using the formula

`s=r\cdot\Theta`

remember that theta must be in radians which means that 90° must be written as pi/2

`\begin{gathered} s=5\cdot(\pi)/(2) \\ s=7.854 \\ s\approx8 \end{gathered}`

now add it with the rectangle portion

`\begin{gathered} P=10+10+5+5+8 \\ P=38 \end{gathered}`

Now in order to find the area start by calculating the area por 3 squares that has a side of 5

`\begin{gathered} Asquares=3\cdot5\cdot5 \\ Asquares=75 \end{gathered}`

In order to find the area for the portion of the circle use the formula for the area

`A=(\pi\cdot r^2\cdot n)/(360)`

where n is the portion of the angle

`\begin{gathered} Acircle=(\pi\cdot(5^2)\cdot90)/(360) \\ Acircle=19.634 \\ Acircle=20 \end{gathered}`

Add the area of the squares and the circle

`\begin{gathered} Atotal=75+20 \\ Atotal=95 \end{gathered}`