Question

Please help me! I can’t find the perimeter of this shape

Answer 1

Answer:

not sure but this should be it

Answer 2

To work out the length of an arc, we use the following equation:

$arclength=\frac{angle}{360}\times 2\pi r$  (r stands for radius)

So just substitute in the values to get the arc length of the first sector:

(angle = 40, radius = 12)

$arclength=\frac{angle}{360}\times 2\pi r$

$arclength=\frac{40}{360}\times 2\pi 12$

$arclength = \frac{8}{3} \pi$

For the other sector, the angle will also be 40, since opposite angles are the same. So to get the arc length, we substitute in:

(angle = 40, radius = 5)

$arclength=\frac{angle}{360}\times 2\pi r$

$arclength=\frac{40}{360}\times 2\pi 5$

$arclength=\frac{10}{9}\pi$

______________________________________

Now to get the perimeter, we add up all of the arc lengths and side lengths:

$Perimeter =\frac{8}{3}\pi+\frac{10}{9}\pi + 12 + 12 + 5 + 5$

$Perimeter = \frac{34}{9}\pi +34$

_______________________________________

Answer:

Perimeter =  $\frac{34}{9}\pi +34$cm or 45.87cm rounded to 2 decimal places.