Question

The question and answer choices are listed in the picture.

Answer 1

Given:

`L=2 \pi r( (x)/(360))`

Solution:
If we want to find the solution for r, we need to move the r to the left side first. So I reverse the side

`2 \pi r( (x)/(360))=L`

Move 2π to the right side. Because on the left side 2π acts as numerator, after it's moved to the right side, it becomes denominator.

`2 \pi r( (x)/(360))=L`

`r( (x)/(360))= (L)/(2 \pi )`

Move 360 to the right side. Because on the left side 360 acts as denominator, after it's moved to the right side, it becomes numerator.

`r( (x)/(360))= (L)/(2 \pi )`

`r(x)= (360L)/(2 \pi )`

Move x to the right side. Because on the left side x acts as numerator, after it's moved to the right side, it becomes denominator.

`r(x)= (360L)/(2 \pi )`

`r= (360L)/(2 \pi x)`

Then simplify the fraction

`r= (360L)/(2 \pi x)`

`r= (180L)/( \pi x)`

The answer is second option