Find the value of x.

Question

anonymous · Answer

attachment

jdoe0001 · Answer

$\large \bf \textit{arc's length}=s=\cfrac{{\color{brown}{ r}}\cdot {\color{brown}{ \theta}}\cdot \pi}{180}$

anonymous · Answer

$$\frac{ 78 }{ 360 } = \frac{ x }{ 2\times r \times \pi } $$
x = 4.084 in

mathmale · Answer

This is a problem involving arc length.  Your job is to find the arc length, x, of a circle with radius 3 inches and central angle 78 degrees.

It's important to remember that 78 degrees MUST be converted to its equivalent in radians before you can use the arc length formula:  $$S = arc~length=r*\theta$$, where r is the radius and theta is the central angle in radians.

anonymous · Answer

so would it be 9.42/180?

mathmale · Answer

Joe (above) has combined the conversion of that central angle in degrees to radians and the calculation of the arc length into one step.  

@geometrypleasehelpp :  could you follow his formula and come up with a result of your own, please?

mathmale · Answer

@geometrypleasehelpp :  Your answer needs to be simplified, and you must decide to how many decimal places you're going to present your answer.  Lastly, your result must be expressed with the proper unit(s) of measurement.

anonymous · Answer

oh ok thank you for your help!

anonymous · Answer

why my answer is wrong ??

anonymous · Answer

no it was correct thank you! they just explained some more steps