Evaluate 90/360*pi(2)^2

$\frac{90}{360} \cdot π {(2)}^{2}$

Step 1

Cancel the common factor of $90$ and $360$ .

Factor $90$ out of $90$ .

$\frac{90 (1)}{360} \cdot (π {(2)}^{2})$

Cancel the common factors.

Factor $90$ out of $360$ .

$\frac{90 \cdot 1}{90 \cdot 4} \cdot (π {(2)}^{2})$

Cancel the common factor.

$\frac{90 \cdot 1}{90 \cdot 4} \cdot (π {(2)}^{2})$

Rewrite the expression.

$\frac{1}{4} \cdot (π {(2)}^{2})$

Step 2

Raise $2$ to the power of $2$ .

$\frac{1}{4} \cdot (π \cdot 4)$

Step 3

Cancel the common factor of $4$ .

Factor $4$ out of $π \cdot 4$ .

$\frac{1}{4} \cdot (4 \cdot π)$

Cancel the common factor.

$\frac{1}{4} \cdot (4 \cdot π)$

Rewrite the expression.

$π$

Step 4

The result can be shown in multiple forms.

Exact Form:

$π$

Decimal Form:

$3.14159265 \dots$