Evaluate 4pi*135/360

$4 π \cdot \frac{135}{360}$

Step 1

Cancel the common factor of $4$ .

Factor $4$ out of $4 π$ .

$4 (π) \cdot \frac{135}{360}$

Factor $4$ out of $360$ .

$4 (π) \cdot \frac{135}{4 (90)}$

Cancel the common factor.

$4 π \cdot \frac{135}{4 \cdot 90}$

Rewrite the expression.

$π \cdot \frac{135}{90}$

$π \cdot \frac{135}{90}$

Step 2

Combine $π$ and $\frac{135}{90}$ .

$\frac{π \cdot 135}{90}$

Step 3

Cancel the common factor of $135$ and $90$ .

Factor $45$ out of $π \cdot 135$ .

$\frac{45 (π \cdot 3)}{90}$

Cancel the common factors.

Factor $45$ out of $90$ .

$\frac{45 (π \cdot 3)}{45 (2)}$

Cancel the common factor.

$\frac{45 (π \cdot 3)}{45 \cdot 2}$

Rewrite the expression.

$\frac{π \cdot 3}{2}$

$\frac{π \cdot 3}{2}$

$\frac{π \cdot 3}{2}$

Step 4

Move $3$ to the left of $π$ .

$\frac{3 π}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3 π}{2}$

Decimal Form:

$4.71238898 \dots$

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