Question

which of the following degree measures is equal to 4π radians? (the number of degrees of arc in a circle is 360. the number of radians of arc in a circle is 2π.) choose 1 answer: a 180° b 360° c 720° d 1,440° show calculator

Explanation:

Step1: Set up conversion ratio

We know that $2\pi$ radians = 360°. So the ratio is $\frac{360^{\circ}}{2\pi\text{ radians}}$.

Step2: Convert 4π radians

$4\pi\text{ radians}\times\frac{360^{\circ}}{2\pi\text{ radians}} = 720^{\circ}$

Answer:

C. 720°