Question

Find the perimeter for the following figures. All arcs shown are the arcs of circles. Either leave in terms of by entering answers with the word pi, or use 3.14 for pi and round your answer to the nearest 10th.

Answer 1

Notice that the corners of the figure are quarters of a circumference, therefore to compute the perimeter that quarters add to the full perimeter we simply compute the perimeter of a circle with radius r= 3.

The perimeter of a circle is given by the following formula:

`P=2\pi r,`

substituting π=3.14 and r=3 we get:

`P=2(3.14)(3)=18.84.`

Finally, we add the length of the straight lines:

`\text{Total perimeter=18.84+2x10+}2*(10-6)\text{.}`

Answer:

`\text{Perimeter}=46.8`