how do i solve for b, when: (2pi/b)=8pi

multipy both sides by b/2PI

1=4b
b=1/4

To solve for b in the equation (2pi/b) = 8pi, we can follow these steps:

1. Start by multiplying both sides of the equation by b to eliminate the denominator:
(2pi/b) * b = 8pi * b

This simplifies to:
2pi = 8pi * b

2. Divide both sides of the equation by 8pi to isolate the variable b:
(2pi) / (8pi) = (8pi * b) / (8pi)

This simplifies to:
1/4 = b

Therefore, the solution to the equation (2pi/b) = 8pi is b = 1/4.