Question

if $x^{circ}$ is equal to $6pi$ radians, what is the value of $x$? (the number of degrees of arc in a circle is 360. the number of radians of arc in a circle is $2pi$.)

Explanation:

Step1: Set up proportion

$\frac{x}{360}=\frac{6\pi}{2\pi}$

Step2: Simplify right - hand side

$\frac{x}{360}=3$

Step3: Solve for x

$x = 3\times360=1080$

Answer:

$1080$