Question

Find the perimeter of the steel plate shown in the figure. Be sure to take into account allcircular cuts made.7"2"radiusradius10"-8"

Answer 1

To find the perimeter of the given steel plate:

1. Find the circular lengths; use the formula of the circumference of a circle and divide it in to 4 to find the length of those parts (those parts are quarter of circle):

Quarter circle part with radius 2"

`\begin{gathered} C=2\pi r \\ C=2\pi(2`

Quarter circle part with radius 1"

`\begin{gathered} C=2\pi(1`

2. Add the lengths of each side of the plate to find its perimeter:

`\begin{gathered} P=10`Then, the perimeter of the plate is:Exact answer: 30"+3/2 π"Approximate answer: 34.71"