What is 1/2 (3)^2(2pi)/3 ?

The solution to 1/2 (3)^2(2pi)/3 is 3pi

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simplify 1/2 (3)^2(2pi)/3

simplify

\frac{1}{2} (3)^{2} \frac{2 π}{3}

3 π

Decimal Notation

9.42477 \dots

Solution steps

\frac{1}{2} \cdot 3^{2} \cdot \frac{2 π}{3}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 2 π 3 ^{2}}{2 \cdot 3}

Cancel the common factor:

2

= \frac{1 π 3 ^{2}}{3}

Multiply:

1 π = π

= \frac{3 ^{2} π}{3}

Cancel the common factor:

3

= 3 π

- (a - 3) = 5 (a + 3)

\frac{x}{3} - \frac{3}{4} > \frac{5 x}{6} - \frac{1}{3}

6 - (3 - x) = 21 - \frac{7}{2} x

\frac{5}{6} + \frac{2}{3}

200 = - \frac{1}{6} x^{2} + 100 x