Question

A sign designer created a sign in the shape shown below. The semicircles are congruent to one another with a diameter of 6 inches. What is the perimeter of the sign?

about 57 inches

about 160 inches

about 137 inches

about 116 inches

Answer 1

perimeter is the distance around the figure (length of all its sides)

do you know how to find the perimeter of a circle (also known as its circumference) ?

Answer 2

c= 2 * pi * r

Answer 3

now use the idea that a semicircle is EXACTLY 1/2 of a full circle.
So how many full circles make up the top and the bottom "edges"

Answer 4

3

Answer 5

and if each has a diameter of 6, what is the circumference of 1 of them?
and then for all 3?

Answer 6

18.84 for 1 of them. then 56.52 for all 3

Answer 7

that is the length of all the curved lines.
now add in the lengths of the two sides.

Answer 8

136.52

Answer 9

rounded to the nearest inch, and you have your answer.

Answer 10

137, thanks

Answer 11

C