Question

a. what is the length of a semicircle of a circle whose radius is 19 units?
b. what is the length of a semicircle of a circle whose radius is \frac{1}{19} unit?

a. the length of a semicircle of a circle whose radius is 19 units is 19x units.
(simplify your answer. type an exact answer, using x as needed. use integers or fractions for any numbers in the expression.)
b. the length of a semicircle of a circle whose radius is \frac{1}{19} unit is \square units
(simplify your answer. type an exact answer, using x as needed. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall the formula for the length of a semicircle

The length of a semicircle \(L=\pi r\), where \(r\) is the radius of the circle.

Step2: Substitute \(r = \frac{1}{19}\) into the formula

When \(r=\frac{1}{19}\), we have \(L=\pi\times\frac{1}{19}\).

Answer:

\(\frac{\pi}{19}\) units