Question

a. the length of a semicircle of a circle whose radius is 19 units is □ units. (simplify your answer. type an exact answer, using π as needed. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference of a circle is \(C = 2\pi r\), where \(r\) is the radius of the circle.

Step2: Find the length of the semicircle

The length of a semicircle is half of the circumference of the circle. So, \(L=\frac{1}{2}\times2\pi r=\pi r\).
Given \(r = 19\) units, substituting \(r = 19\) into the formula \(L=\pi r\), we get \(L = 19\pi\) units.

Answer:

\(19\pi\)