Answer:
diameter = 13.396 inches
Explanation:
The question asks us to calculate the diameter of a semicircle given that its perimeter is 34.438 inches.
To do this, we have to first think about the formula for the perimeter of a semicircle. Since a semicircle is made up of the diameter and half of the circumference of a regular circle, we can write the formula like this:
Perimeter = diameter + (
× circumference)
=

=

=

We know the perimeter of the semicircle, and therefore, we can easily calculate its radius:

⇒

⇒

Next, we know that the diameter is twice the size of the radius, and therefore:
d = 2 × 6.698
= 13.396
Therefore, the diameter of the semicircle is 13.396 inches.