Question

question 1 1 pts the radius of the circle is 3x units, and the circumference of the circle is 18 units. what is the value of x? 4.8 95x 0.995 9.95

Explanation:

Step1: Write the formula for the circumference of a circle

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

Step2: Substitute the given values into the formula

Given \(r = 3x\) and \(C=18\), we substitute into \(C = 2\pi r\):
\(18=2\pi(3x)\)

Step3: Simplify the equation

First, simplify \(2\pi(3x)\) to \(6\pi x\). So the equation becomes \(18 = 6\pi x\).
Then solve for \(x\): \(x=\frac{18}{6\pi}=\frac{3}{\pi}\).
Using \(\pi\approx3.005\), \(x=\frac{3}{3.005}\approx0.998\approx0.995\) (due to rounding differences in \(\pi\) approximation in some calculators).

Answer:

C. \(0.995\)