Solve for B 4=(2pi)/B

$4 = \frac{2 π}{B}$

Step 1

Rewrite the equation as $\frac{2 π}{B} = 4$ .

$\frac{2 π}{B} = 4$

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$B, 1$

The LCM of one and any expression is the expression.

$B$

Step 3

Multiply each term in $\frac{2 π}{B} = 4$ by $B$ to eliminate the fractions.

Multiply each term in $\frac{2 π}{B} = 4$ by $B$ .

$\frac{2 π}{B} B = 4 B$

Simplify the left side.

Cancel the common factor of $B$ .

Cancel the common factor.

$\frac{2 π}{B} B = 4 B$

Rewrite the expression.

$2 π = 4 B$

Step 4

Solve the equation.

Rewrite the equation as $4 B = 2 π$ .

$4 B = 2 π$

Divide each term in $4 B = 2 π$ by $4$ and simplify.

Divide each term in $4 B = 2 π$ by $4$ .

$\frac{4 B}{4} = \frac{2 π}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 B}{4} = \frac{2 π}{4}$

Divide $B$ by $1$ .

$B = \frac{2 π}{4}$

Simplify the right side.

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2 π$ .

$B = \frac{2 (π)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$B = \frac{2 π}{2 \cdot 2}$

Cancel the common factor.

$B = \frac{2 π}{2 \cdot 2}$

Rewrite the expression.

$B = \frac{π}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$B = \frac{π}{2}$

Decimal Form:

$B = 1.57079632 \dots$

Solve for B 4=(2pi)/B

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