What is simplify (54/360)pi*4^2 ?

The solution to simplify (54/360)pi*4^2 is (12pi)/5

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Evaluate (54/360)pi*4^2

simplify

(\frac{54}{360}) π \cdot 4^{2}

\frac{12 π}{5}

Decimal Notation

7.53982 \dots

Solution steps

(\frac{54}{360}) π 4^{2}

Remove parentheses:

(a) = a

= \frac{54}{360} π 4^{2}

\frac{54}{360} = \frac{3}{20}

= 4^{2} π \frac{3}{20}

Multiply fractions:

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

= \frac{3 π 4 ^{2}}{20}

Factor

4^{2} : 2^{4}

Factor

20 : 2^{2} \cdot 5

= \frac{2 ^{4} \cdot 3 π}{2 ^{2} \cdot 5}

Cancel

\frac{3 π 2 ^{4}}{2 ^{2} \cdot 5} : \frac{2 ^{2} \cdot 3 π}{5}

= \frac{2 ^{2} \cdot 3 π}{5}

2^{2} \cdot 3 π = 12 π

= \frac{12 π}{5}

x, 8^{x} = 16

k, k - 8 = 11.8

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

\frac{( ( 12 x ^{4} y ^{- 1} 6 ) ^{2} ( ( 3 x ^{- 1} 2 y ^{5} ) ^{3} ) )}{( 36 x ^{- 1} 4 )}

t, \frac{1}{3} t = - t + \frac{2}{3} t - 1

What is simplify (54/360)pi*4^2 ?
The solution to simplify (54/360)pi*4^2 is (12pi)/5